diff --git a/packages/squiggle-old/.gitignore b/packages/squiggle-old/.gitignore
new file mode 100644
index 00000000..a32fd439
--- /dev/null
+++ b/packages/squiggle-old/.gitignore
@@ -0,0 +1,16 @@
+.DS_Store
+.merlin
+.bsb.lock
+npm-debug.log
+/node_modules/
+.cache
+.cache/*
+dist
+lib/*
+*.cache
+build
+yarn-error.log
+*.bs.js
+# Local Netlify folder
+.netlify
+.idea
diff --git a/packages/squiggle-old/LICENSE b/packages/squiggle-old/LICENSE
new file mode 100644
index 00000000..fb0c468f
--- /dev/null
+++ b/packages/squiggle-old/LICENSE
@@ -0,0 +1,22 @@
+
+MIT License
+
+Copyright (c) 2020 Foretold
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.
\ No newline at end of file
diff --git a/packages/squiggle-old/README.md b/packages/squiggle-old/README.md
new file mode 100644
index 00000000..773432e3
--- /dev/null
+++ b/packages/squiggle-old/README.md
@@ -0,0 +1,19 @@
+# Squiggle
+
+This is an experiment DSL/language for making probabilistic estimates.
+
+## DistPlus
+We have a custom library called DistPlus to handle distributions with additional metadata. This helps handle mixed distributions (continuous + discrete), a cache for a cdf, possible unit types (specific times are supported), and limited domains.
+
+## Running
+
+Currently it only has a few very simple models.
+
+```
+yarn
+yarn run start
+yarn run parcel
+```
+
+## Expected future setup
+![setup](https://raw.githubusercontent.com/foretold-app/widedomain/master/Screen%20Shot%202020-06-30%20at%208.27.32%20AM.png)
diff --git a/packages/squiggle-old/Screen Shot 2020-06-30 at 8.27.32 AM.png b/packages/squiggle-old/Screen Shot 2020-06-30 at 8.27.32 AM.png
new file mode 100644
index 00000000..8c7d6a6b
Binary files /dev/null and b/packages/squiggle-old/Screen Shot 2020-06-30 at 8.27.32 AM.png differ
diff --git a/packages/squiggle-old/__tests__/Bandwidth__Test.re b/packages/squiggle-old/__tests__/Bandwidth__Test.re
new file mode 100644
index 00000000..54cd111d
--- /dev/null
+++ b/packages/squiggle-old/__tests__/Bandwidth__Test.re
@@ -0,0 +1,13 @@
+open Jest;
+open Expect;
+
+describe("Bandwidth", () => {
+ test("nrd0()", () => {
+ let data = [|1., 4., 3., 2.|];
+ expect(Bandwidth.nrd0(data)) |> toEqual(0.7625801874014622);
+ });
+ test("nrd()", () => {
+ let data = [|1., 4., 3., 2.|];
+ expect(Bandwidth.nrd(data)) |> toEqual(0.8981499984950554);
+ });
+});
\ No newline at end of file
diff --git a/packages/squiggle-old/__tests__/DistTypes__Test.re b/packages/squiggle-old/__tests__/DistTypes__Test.re
new file mode 100644
index 00000000..d5db18dd
--- /dev/null
+++ b/packages/squiggle-old/__tests__/DistTypes__Test.re
@@ -0,0 +1,104 @@
+open Jest;
+open Expect;
+
+let makeTest = (~only=false, str, item1, item2) =>
+ only
+ ? Only.test(str, () =>
+ expect(item1) |> toEqual(item2)
+ )
+ : test(str, () =>
+ expect(item1) |> toEqual(item2)
+ );
+
+describe("DistTypes", () => {
+ describe("Domain", () => {
+ let makeComplete = (yPoint, expectation) =>
+ makeTest(
+ "With input: " ++ Js.Float.toString(yPoint),
+ DistTypes.Domain.yPointToSubYPoint(Complete, yPoint),
+ expectation,
+ );
+ let makeSingle =
+ (
+ direction: [ | `left | `right],
+ excludingProbabilityMass,
+ yPoint,
+ expectation,
+ ) =>
+ makeTest(
+ "Excluding: "
+ ++ Js.Float.toString(excludingProbabilityMass)
+ ++ " and yPoint: "
+ ++ Js.Float.toString(yPoint),
+ DistTypes.Domain.yPointToSubYPoint(
+ direction == `left
+ ? LeftLimited({xPoint: 3.0, excludingProbabilityMass})
+ : RightLimited({xPoint: 3.0, excludingProbabilityMass}),
+ yPoint,
+ ),
+ expectation,
+ );
+ let makeDouble = (domain, yPoint, expectation) =>
+ makeTest(
+ "Excluding: limits",
+ DistTypes.Domain.yPointToSubYPoint(domain, yPoint),
+ expectation,
+ );
+
+ describe("With Complete Domain", () => {
+ makeComplete(0.0, Some(0.0));
+ makeComplete(0.6, Some(0.6));
+ makeComplete(1.0, Some(1.0));
+ });
+ describe("With Left Limit", () => {
+ makeSingle(`left, 0.5, 1.0, Some(1.0));
+ makeSingle(`left, 0.5, 0.75, Some(0.5));
+ makeSingle(`left, 0.8, 0.9, Some(0.5));
+ makeSingle(`left, 0.5, 0.4, None);
+ makeSingle(`left, 0.5, 0.5, Some(0.0));
+ });
+ describe("With Right Limit", () => {
+ makeSingle(`right, 0.5, 1.0, None);
+ makeSingle(`right, 0.5, 0.25, Some(0.5));
+ makeSingle(`right, 0.8, 0.5, None);
+ makeSingle(`right, 0.2, 0.2, Some(0.25));
+ makeSingle(`right, 0.5, 0.5, Some(1.0));
+ makeSingle(`right, 0.5, 0.0, Some(0.0));
+ makeSingle(`right, 0.5, 0.5, Some(1.0));
+ });
+ describe("With Left and Right Limit", () => {
+ makeDouble(
+ LeftAndRightLimited(
+ {excludingProbabilityMass: 0.25, xPoint: 3.0},
+ {excludingProbabilityMass: 0.25, xPoint: 10.0},
+ ),
+ 0.5,
+ Some(0.5),
+ );
+ makeDouble(
+ LeftAndRightLimited(
+ {excludingProbabilityMass: 0.1, xPoint: 3.0},
+ {excludingProbabilityMass: 0.1, xPoint: 10.0},
+ ),
+ 0.2,
+ Some(0.125),
+ );
+ makeDouble(
+ LeftAndRightLimited(
+ {excludingProbabilityMass: 0.1, xPoint: 3.0},
+ {excludingProbabilityMass: 0.1, xPoint: 10.0},
+ ),
+ 0.1,
+ Some(0.0),
+ );
+ makeDouble(
+ LeftAndRightLimited(
+ {excludingProbabilityMass: 0.1, xPoint: 3.0},
+ {excludingProbabilityMass: 0.1, xPoint: 10.0},
+ ),
+ 0.05,
+ None,
+ );
+ });
+ })
+});
\ No newline at end of file
diff --git a/packages/squiggle-old/__tests__/Distributions__Test.re b/packages/squiggle-old/__tests__/Distributions__Test.re
new file mode 100644
index 00000000..0e2869d1
--- /dev/null
+++ b/packages/squiggle-old/__tests__/Distributions__Test.re
@@ -0,0 +1,415 @@
+open Jest;
+open Expect;
+
+let shape: DistTypes.xyShape = {xs: [|1., 4., 8.|], ys: [|8., 9., 2.|]};
+
+// let makeTest = (~only=false, str, item1, item2) =>
+// only
+// ? Only.test(str, () =>
+// expect(item1) |> toEqual(item2)
+// )
+// : test(str, () =>
+// expect(item1) |> toEqual(item2)
+// );
+
+// let makeTestCloseEquality = (~only=false, str, item1, item2, ~digits) =>
+// only
+// ? Only.test(str, () =>
+// expect(item1) |> toBeSoCloseTo(item2, ~digits)
+// )
+// : test(str, () =>
+// expect(item1) |> toBeSoCloseTo(item2, ~digits)
+// );
+
+// describe("Shape", () => {
+// describe("Continuous", () => {
+// open Continuous;
+// let continuous = make(`Linear, shape, None);
+// makeTest("minX", T.minX(continuous), 1.0);
+// makeTest("maxX", T.maxX(continuous), 8.0);
+// makeTest(
+// "mapY",
+// T.mapY(r => r *. 2.0, continuous) |> getShape |> (r => r.ys),
+// [|16., 18.0, 4.0|],
+// );
+// describe("xToY", () => {
+// describe("when Linear", () => {
+// makeTest(
+// "at 4.0",
+// T.xToY(4., continuous),
+// {continuous: 9.0, discrete: 0.0},
+// );
+// // Note: This below is weird to me, I'm not sure if it's what we want really.
+// makeTest(
+// "at 0.0",
+// T.xToY(0., continuous),
+// {continuous: 8.0, discrete: 0.0},
+// );
+// makeTest(
+// "at 5.0",
+// T.xToY(5., continuous),
+// {continuous: 7.25, discrete: 0.0},
+// );
+// makeTest(
+// "at 10.0",
+// T.xToY(10., continuous),
+// {continuous: 2.0, discrete: 0.0},
+// );
+// });
+// describe("when Stepwise", () => {
+// let continuous = make(`Stepwise, shape, None);
+// makeTest(
+// "at 4.0",
+// T.xToY(4., continuous),
+// {continuous: 9.0, discrete: 0.0},
+// );
+// makeTest(
+// "at 0.0",
+// T.xToY(0., continuous),
+// {continuous: 0.0, discrete: 0.0},
+// );
+// makeTest(
+// "at 5.0",
+// T.xToY(5., continuous),
+// {continuous: 9.0, discrete: 0.0},
+// );
+// makeTest(
+// "at 10.0",
+// T.xToY(10., continuous),
+// {continuous: 2.0, discrete: 0.0},
+// );
+// });
+// });
+// makeTest(
+// "integral",
+// T.Integral.get(~cache=None, continuous) |> getShape,
+// {xs: [|1.0, 4.0, 8.0|], ys: [|0.0, 25.5, 47.5|]},
+// );
+// makeTest(
+// "toLinear",
+// {
+// let continuous =
+// make(`Stepwise, {xs: [|1., 4., 8.|], ys: [|0.1, 5., 1.0|]}, None);
+// continuous |> toLinear |> E.O.fmap(getShape);
+// },
+// Some({
+// xs: [|1.00007, 1.00007, 4.0, 4.00007, 8.0, 8.00007|],
+// ys: [|0.0, 0.1, 0.1, 5.0, 5.0, 1.0|],
+// }),
+// );
+// makeTest(
+// "toLinear",
+// {
+// let continuous = make(`Stepwise, {xs: [|0.0|], ys: [|0.3|]}, None);
+// continuous |> toLinear |> E.O.fmap(getShape);
+// },
+// Some({xs: [|0.0|], ys: [|0.3|]}),
+// );
+// makeTest(
+// "integralXToY",
+// T.Integral.xToY(~cache=None, 0.0, continuous),
+// 0.0,
+// );
+// makeTest(
+// "integralXToY",
+// T.Integral.xToY(~cache=None, 2.0, continuous),
+// 8.5,
+// );
+// makeTest(
+// "integralXToY",
+// T.Integral.xToY(~cache=None, 100.0, continuous),
+// 47.5,
+// );
+// makeTest(
+// "integralEndY",
+// continuous
+// |> T.normalize //scaleToIntegralSum(~intendedSum=1.0)
+// |> T.Integral.sum(~cache=None),
+// 1.0,
+// );
+// });
+
+// describe("Discrete", () => {
+// open Discrete;
+// let shape: DistTypes.xyShape = {
+// xs: [|1., 4., 8.|],
+// ys: [|0.3, 0.5, 0.2|],
+// };
+// let discrete = make(shape, None);
+// makeTest("minX", T.minX(discrete), 1.0);
+// makeTest("maxX", T.maxX(discrete), 8.0);
+// makeTest(
+// "mapY",
+// T.mapY(r => r *. 2.0, discrete) |> (r => getShape(r).ys),
+// [|0.6, 1.0, 0.4|],
+// );
+// makeTest(
+// "xToY at 4.0",
+// T.xToY(4., discrete),
+// {discrete: 0.5, continuous: 0.0},
+// );
+// makeTest(
+// "xToY at 0.0",
+// T.xToY(0., discrete),
+// {discrete: 0.0, continuous: 0.0},
+// );
+// makeTest(
+// "xToY at 5.0",
+// T.xToY(5., discrete),
+// {discrete: 0.0, continuous: 0.0},
+// );
+// makeTest(
+// "scaleBy",
+// scaleBy(~scale=4.0, discrete),
+// make({xs: [|1., 4., 8.|], ys: [|1.2, 2.0, 0.8|]}, None),
+// );
+// makeTest(
+// "normalize, then scale by 4.0",
+// discrete
+// |> T.normalize
+// |> scaleBy(~scale=4.0),
+// make({xs: [|1., 4., 8.|], ys: [|1.2, 2.0, 0.8|]}, None),
+// );
+// makeTest(
+// "scaleToIntegralSum: back and forth",
+// discrete
+// |> T.normalize
+// |> scaleBy(~scale=4.0)
+// |> T.normalize,
+// discrete,
+// );
+// makeTest(
+// "integral",
+// T.Integral.get(~cache=None, discrete),
+// Continuous.make(
+// `Stepwise,
+// {xs: [|1., 4., 8.|], ys: [|0.3, 0.8, 1.0|]},
+// None
+// ),
+// );
+// makeTest(
+// "integral with 1 element",
+// T.Integral.get(~cache=None, Discrete.make({xs: [|0.0|], ys: [|1.0|]}, None)),
+// Continuous.make(`Stepwise, {xs: [|0.0|], ys: [|1.0|]}, None),
+// );
+// makeTest(
+// "integralXToY",
+// T.Integral.xToY(~cache=None, 6.0, discrete),
+// 0.9,
+// );
+// makeTest("integralEndY", T.Integral.sum(~cache=None, discrete), 1.0);
+// makeTest("mean", T.mean(discrete), 3.9);
+// makeTestCloseEquality(
+// "variance",
+// T.variance(discrete),
+// 5.89,
+// ~digits=7,
+// );
+// });
+
+// describe("Mixed", () => {
+// open Distributions.Mixed;
+// let discreteShape: DistTypes.xyShape = {
+// xs: [|1., 4., 8.|],
+// ys: [|0.3, 0.5, 0.2|],
+// };
+// let discrete = Discrete.make(discreteShape, None);
+// let continuous =
+// Continuous.make(
+// `Linear,
+// {xs: [|3., 7., 14.|], ys: [|0.058, 0.082, 0.124|]},
+// None
+// )
+// |> Continuous.T.normalize; //scaleToIntegralSum(~intendedSum=1.0);
+// let mixed = Mixed.make(
+// ~continuous,
+// ~discrete,
+// );
+// makeTest("minX", T.minX(mixed), 1.0);
+// makeTest("maxX", T.maxX(mixed), 14.0);
+// makeTest(
+// "mapY",
+// T.mapY(r => r *. 2.0, mixed),
+// Mixed.make(
+// ~continuous=
+// Continuous.make(
+// `Linear,
+// {
+// xs: [|3., 7., 14.|],
+// ys: [|
+// 0.11588411588411589,
+// 0.16383616383616384,
+// 0.24775224775224775,
+// |],
+// },
+// None
+// ),
+// ~discrete=Discrete.make({xs: [|1., 4., 8.|], ys: [|0.6, 1.0, 0.4|]}, None)
+// ),
+// );
+// makeTest(
+// "xToY at 4.0",
+// T.xToY(4., mixed),
+// {discrete: 0.25, continuous: 0.03196803196803197},
+// );
+// makeTest(
+// "xToY at 0.0",
+// T.xToY(0., mixed),
+// {discrete: 0.0, continuous: 0.028971028971028972},
+// );
+// makeTest(
+// "xToY at 5.0",
+// T.xToY(7., mixed),
+// {discrete: 0.0, continuous: 0.04095904095904096},
+// );
+// makeTest("integralEndY", T.Integral.sum(~cache=None, mixed), 1.0);
+// makeTest(
+// "scaleBy",
+// Mixed.scaleBy(~scale=2.0, mixed),
+// Mixed.make(
+// ~continuous=
+// Continuous.make(
+// `Linear,
+// {
+// xs: [|3., 7., 14.|],
+// ys: [|
+// 0.11588411588411589,
+// 0.16383616383616384,
+// 0.24775224775224775,
+// |],
+// },
+// None
+// ),
+// ~discrete=Discrete.make({xs: [|1., 4., 8.|], ys: [|0.6, 1.0, 0.4|]}, None),
+// ),
+// );
+// makeTest(
+// "integral",
+// T.Integral.get(~cache=None, mixed),
+// Continuous.make(
+// `Linear,
+// {
+// xs: [|1.00007, 1.00007, 3., 4., 4.00007, 7., 8., 8.00007, 14.|],
+// ys: [|
+// 0.0,
+// 0.0,
+// 0.15,
+// 0.18496503496503497,
+// 0.4349674825174825,
+// 0.5398601398601399,
+// 0.5913086913086913,
+// 0.6913122927072927,
+// 1.0,
+// |],
+// },
+// None,
+// ),
+// );
+// });
+
+// describe("Distplus", () => {
+// open DistPlus;
+// let discreteShape: DistTypes.xyShape = {
+// xs: [|1., 4., 8.|],
+// ys: [|0.3, 0.5, 0.2|],
+// };
+// let discrete = Discrete.make(discreteShape, None);
+// let continuous =
+// Continuous.make(
+// `Linear,
+// {xs: [|3., 7., 14.|], ys: [|0.058, 0.082, 0.124|]},
+// None
+// )
+// |> Continuous.T.normalize; //scaleToIntegralSum(~intendedSum=1.0);
+// let mixed =
+// Mixed.make(
+// ~continuous,
+// ~discrete,
+// );
+// let distPlus =
+// DistPlus.make(
+// ~shape=Mixed(mixed),
+// ~squiggleString=None,
+// (),
+// );
+// makeTest("minX", T.minX(distPlus), 1.0);
+// makeTest("maxX", T.maxX(distPlus), 14.0);
+// makeTest(
+// "xToY at 4.0",
+// T.xToY(4., distPlus),
+// {discrete: 0.25, continuous: 0.03196803196803197},
+// );
+// makeTest(
+// "xToY at 0.0",
+// T.xToY(0., distPlus),
+// {discrete: 0.0, continuous: 0.028971028971028972},
+// );
+// makeTest(
+// "xToY at 5.0",
+// T.xToY(7., distPlus),
+// {discrete: 0.0, continuous: 0.04095904095904096},
+// );
+// makeTest("integralEndY", T.Integral.sum(~cache=None, distPlus), 1.0);
+// makeTest(
+// "integral",
+// T.Integral.get(~cache=None, distPlus) |> T.toContinuous,
+// Some(
+// Continuous.make(
+// `Linear,
+// {
+// xs: [|1.00007, 1.00007, 3., 4., 4.00007, 7., 8., 8.00007, 14.|],
+// ys: [|
+// 0.0,
+// 0.0,
+// 0.15,
+// 0.18496503496503497,
+// 0.4349674825174825,
+// 0.5398601398601399,
+// 0.5913086913086913,
+// 0.6913122927072927,
+// 1.0,
+// |],
+// },
+// None,
+// ),
+// ),
+// );
+// });
+
+// describe("Shape", () => {
+// let mean = 10.0;
+// let stdev = 4.0;
+// let variance = stdev ** 2.0;
+// let numSamples = 10000;
+// open Distributions.Shape;
+// let normal: SymbolicTypes.symbolicDist = `Normal({mean, stdev});
+// let normalShape = ExpressionTree.toShape(numSamples, `SymbolicDist(normal));
+// let lognormal = SymbolicDist.Lognormal.fromMeanAndStdev(mean, stdev);
+// let lognormalShape = ExpressionTree.toShape(numSamples, `SymbolicDist(lognormal));
+
+// makeTestCloseEquality(
+// "Mean of a normal",
+// T.mean(normalShape),
+// mean,
+// ~digits=2,
+// );
+// makeTestCloseEquality(
+// "Variance of a normal",
+// T.variance(normalShape),
+// variance,
+// ~digits=1,
+// );
+// makeTestCloseEquality(
+// "Mean of a lognormal",
+// T.mean(lognormalShape),
+// mean,
+// ~digits=2,
+// );
+// makeTestCloseEquality(
+// "Variance of a lognormal",
+// T.variance(lognormalShape),
+// variance,
+// ~digits=0,
+// );
+// });
+// });
diff --git a/packages/squiggle-old/__tests__/Hardcoded__Test.re b/packages/squiggle-old/__tests__/Hardcoded__Test.re
new file mode 100644
index 00000000..fd915b31
--- /dev/null
+++ b/packages/squiggle-old/__tests__/Hardcoded__Test.re
@@ -0,0 +1,57 @@
+open Jest;
+open Expect;
+
+let makeTest = (~only=false, str, item1, item2) =>
+ only
+ ? Only.test(str, () =>
+ expect(item1) |> toEqual(item2)
+ )
+ : test(str, () =>
+ expect(item1) |> toEqual(item2)
+ );
+
+let evalParams: ExpressionTypes.ExpressionTree.evaluationParams = {
+ samplingInputs: {
+ sampleCount: 1000,
+ outputXYPoints: 10000,
+ kernelWidth: None,
+ shapeLength: 1000,
+ },
+ environment:
+ [|
+ ("K", `SymbolicDist(`Float(1000.0))),
+ ("M", `SymbolicDist(`Float(1000000.0))),
+ ("B", `SymbolicDist(`Float(1000000000.0))),
+ ("T", `SymbolicDist(`Float(1000000000000.0))),
+ |]
+ ->Belt.Map.String.fromArray,
+ evaluateNode: ExpressionTreeEvaluator.toLeaf,
+};
+
+let shape1: DistTypes.xyShape = {xs: [|1., 4., 8.|], ys: [|0.2, 0.4, 0.8|]};
+
+describe("XYShapes", () => {
+ describe("logScorePoint", () => {
+ makeTest(
+ "When identical",
+ {
+ let foo =
+ HardcodedFunctions.(
+ makeRenderedDistFloat("scaleMultiply", (dist, float) =>
+ verticalScaling(`Multiply, dist, float)
+ )
+ );
+
+ TypeSystem.Function.T.run(
+ evalParams,
+ [|
+ `SymbolicDist(`Float(100.0)),
+ `SymbolicDist(`Float(1.0)),
+ |],
+ foo,
+ );
+ },
+ Error("Sad"),
+ )
+ })
+});
diff --git a/packages/squiggle-old/__tests__/Lodash__test.re b/packages/squiggle-old/__tests__/Lodash__test.re
new file mode 100644
index 00000000..8e6ccc21
--- /dev/null
+++ b/packages/squiggle-old/__tests__/Lodash__test.re
@@ -0,0 +1,24 @@
+open Jest;
+open Expect;
+
+let makeTest = (~only=false, str, item1, item2) =>
+ only
+ ? Only.test(str, () =>
+ expect(item1) |> toEqual(item2)
+ )
+ : test(str, () =>
+ expect(item1) |> toEqual(item2)
+ );
+
+describe("Lodash", () => {
+ describe("Lodash", () => {
+ makeTest("min", Lodash.min([|1, 3, 4|]), 1);
+ makeTest("max", Lodash.max([|1, 3, 4|]), 4);
+ makeTest("uniq", Lodash.uniq([|1, 3, 4, 4|]), [|1, 3, 4|]);
+ makeTest(
+ "countBy",
+ Lodash.countBy([|1, 3, 4, 4|], r => r),
+ Js.Dict.fromArray([|("1", 1), ("3", 1), ("4", 2)|]),
+ );
+ })
+});
\ No newline at end of file
diff --git a/packages/squiggle-old/__tests__/Samples__test.re b/packages/squiggle-old/__tests__/Samples__test.re
new file mode 100644
index 00000000..9afbaf86
--- /dev/null
+++ b/packages/squiggle-old/__tests__/Samples__test.re
@@ -0,0 +1,51 @@
+open Jest;
+open Expect;
+
+let makeTest = (~only=false, str, item1, item2) =>
+ only
+ ? Only.test(str, () =>
+ expect(item1) |> toEqual(item2)
+ )
+ : test(str, () =>
+ expect(item1) |> toEqual(item2)
+ );
+
+describe("Lodash", () => {
+ describe("Lodash", () => {
+ makeTest(
+ "split",
+ SamplesToShape.Internals.T.splitContinuousAndDiscrete([|1.432, 1.33455, 2.0|]),
+ ([|1.432, 1.33455, 2.0|], E.FloatFloatMap.empty()),
+ );
+ makeTest(
+ "split",
+ SamplesToShape.Internals.T.splitContinuousAndDiscrete([|
+ 1.432,
+ 1.33455,
+ 2.0,
+ 2.0,
+ 2.0,
+ 2.0,
+ |])
+ |> (((c, disc)) => (c, disc |> E.FloatFloatMap.toArray)),
+ ([|1.432, 1.33455|], [|(2.0, 4.0)|]),
+ );
+
+ let makeDuplicatedArray = count => {
+ let arr = Belt.Array.range(1, count) |> E.A.fmap(float_of_int);
+ let sorted = arr |> Belt.SortArray.stableSortBy(_, compare);
+ E.A.concatMany([|sorted, sorted, sorted, sorted|])
+ |> Belt.SortArray.stableSortBy(_, compare);
+ };
+
+ let (_, discrete) =
+ SamplesToShape.Internals.T.splitContinuousAndDiscrete(makeDuplicatedArray(10));
+ let toArr = discrete |> E.FloatFloatMap.toArray;
+ makeTest("splitMedium", toArr |> Belt.Array.length, 10);
+
+ let (c, discrete) =
+ SamplesToShape.Internals.T.splitContinuousAndDiscrete(makeDuplicatedArray(500));
+ let toArr = discrete |> E.FloatFloatMap.toArray;
+ makeTest("splitMedium", toArr |> Belt.Array.length, 500);
+ })
+});
\ No newline at end of file
diff --git a/packages/squiggle-old/__tests__/XYShape__Test.re b/packages/squiggle-old/__tests__/XYShape__Test.re
new file mode 100644
index 00000000..67eee90b
--- /dev/null
+++ b/packages/squiggle-old/__tests__/XYShape__Test.re
@@ -0,0 +1,63 @@
+open Jest;
+open Expect;
+
+let makeTest = (~only=false, str, item1, item2) =>
+ only
+ ? Only.test(str, () =>
+ expect(item1) |> toEqual(item2)
+ )
+ : test(str, () =>
+ expect(item1) |> toEqual(item2)
+ );
+
+let shape1: DistTypes.xyShape = {xs: [|1., 4., 8.|], ys: [|0.2, 0.4, 0.8|]};
+
+let shape2: DistTypes.xyShape = {
+ xs: [|1., 5., 10.|],
+ ys: [|0.2, 0.5, 0.8|],
+};
+
+let shape3: DistTypes.xyShape = {
+ xs: [|1., 20., 50.|],
+ ys: [|0.2, 0.5, 0.8|],
+};
+
+describe("XYShapes", () => {
+ describe("logScorePoint", () => {
+ makeTest(
+ "When identical",
+ XYShape.logScorePoint(30, shape1, shape1),
+ Some(0.0),
+ );
+ makeTest(
+ "When similar",
+ XYShape.logScorePoint(30, shape1, shape2),
+ Some(1.658971191043856),
+ );
+ makeTest(
+ "When very different",
+ XYShape.logScorePoint(30, shape1, shape3),
+ Some(210.3721280423322),
+ );
+ });
+ // describe("transverse", () => {
+ // makeTest(
+ // "When very different",
+ // XYShape.Transversal._transverse(
+ // (aCurrent, aLast) => aCurrent +. aLast,
+ // [|1.0, 2.0, 3.0, 4.0|],
+ // ),
+ // [|1.0, 3.0, 6.0, 10.0|],
+ // )
+ // });
+ describe("integrateWithTriangles", () => {
+ makeTest(
+ "integrates correctly",
+ XYShape.Range.integrateWithTriangles(shape1),
+ Some({
+ xs: [|1., 4., 8.|],
+ ys: [|0.0, 0.9000000000000001, 3.3000000000000007|],
+ }),
+ )
+ });
+});
\ No newline at end of file
diff --git a/packages/squiggle-old/bsconfig.json b/packages/squiggle-old/bsconfig.json
new file mode 100644
index 00000000..ceb39e0c
--- /dev/null
+++ b/packages/squiggle-old/bsconfig.json
@@ -0,0 +1,53 @@
+{
+ "name": "probExample",
+ "reason": {
+ "react-jsx": 3
+ },
+ "sources": [
+ {
+ "dir": "src",
+ "subdirs": true
+ },
+ {
+ "dir": "showcase",
+ "type": "dev",
+ "subdirs": true
+ },
+ {
+ "dir": "__tests__",
+ "type": "dev",
+ "subdirs": true
+ }
+ ],
+ "bsc-flags": [
+ "-bs-super-errors",
+ "-bs-no-version-header",
+ "-bs-g"
+ ],
+ "package-specs": [
+ {
+ "module": "commonjs",
+ "in-source": true
+ }
+ ],
+ "suffix": ".bs.js",
+ "namespace": true,
+ "bs-dependencies": [
+ "@glennsl/bs-jest",
+ "@glennsl/bs-json",
+ "@rescriptbr/reform",
+ "@rescript/react",
+ "bs-css",
+ "bs-css-dom",
+ "rationale",
+ "bs-moment",
+ "reschema"
+ ],
+ "refmt": 3,
+ "warnings": {
+ "number": "+A-42-48-9-30-4-102"
+ },
+ "ppx-flags": [
+ "lenses-ppx/ppx"
+ ]
+}
diff --git a/packages/squiggle-old/docs/README.md b/packages/squiggle-old/docs/README.md
new file mode 100644
index 00000000..a04115ff
--- /dev/null
+++ b/packages/squiggle-old/docs/README.md
@@ -0,0 +1,22 @@
+# Squiggle
+
+Squiggle is a DSL for making probabilistic estimations. It is meant
+to be a programming analogue of the [Guesstimate](https://www.getguesstimate.com/)
+application.
+
+There are several use cases for a language that represent uncertainty. Some include
+writing cost effectiveness analysis, as well as doing accurate forecasting.
+
+Squiggle is written in [Rescript](https://rescript-lang.org/) and is presented
+as a website.
+
+If you wish to try squiggle out, you can visit our [main page](https://squiggle-language.com/).
+
+## Syntax
+We use the [Math.js expression language](https://mathjs.org/index.html) for Squiggle.
+So any expression that's available on Math.js is supported on Squiggle.
+
+To represent uncertainty, we use a custom DSL called [DistML](https://docs.google.com/document/d/1xlEC8KjchP4PL-KdSxfBJr0UZ9nVMSAlz-rjAQEinyA/edit#).
+
+## Contributing
+To contribute to this project, we recommend visiting our [Contributing Guide](contributing.md).
diff --git a/packages/squiggle-old/docs/index.html b/packages/squiggle-old/docs/index.html
new file mode 100644
index 00000000..030bd7fb
--- /dev/null
+++ b/packages/squiggle-old/docs/index.html
@@ -0,0 +1,27 @@
+
+
+
+
+ Squiggle Documentation
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/packages/squiggle-old/docs/package.json b/packages/squiggle-old/docs/package.json
new file mode 100644
index 00000000..523d599e
--- /dev/null
+++ b/packages/squiggle-old/docs/package.json
@@ -0,0 +1,5 @@
+{
+ "devDependencies": {
+ "docsify-cli": "^4.4.3"
+ }
+}
diff --git a/packages/squiggle-old/docs/yarn.lock b/packages/squiggle-old/docs/yarn.lock
new file mode 100644
index 00000000..281ead52
--- /dev/null
+++ b/packages/squiggle-old/docs/yarn.lock
@@ -0,0 +1,1323 @@
+# THIS IS AN AUTOGENERATED FILE. DO NOT EDIT THIS FILE DIRECTLY.
+# yarn lockfile v1
+
+
+"@sindresorhus/is@^0.14.0":
+ version "0.14.0"
+ resolved "https://registry.yarnpkg.com/@sindresorhus/is/-/is-0.14.0.tgz#9fb3a3cf3132328151f353de4632e01e52102bea"
+ integrity sha512-9NET910DNaIPngYnLLPeg+Ogzqsi9uM4mSboU5y6p8S5DzMTVEsJZrawi+BoDNUVBa2DhJqQYUFvMDfgU062LQ==
+
+"@szmarczak/http-timer@^1.1.2":
+ version "1.1.2"
+ resolved "https://registry.yarnpkg.com/@szmarczak/http-timer/-/http-timer-1.1.2.tgz#b1665e2c461a2cd92f4c1bbf50d5454de0d4b421"
+ integrity sha512-XIB2XbzHTN6ieIjfIMV9hlVcfPU26s2vafYWQcZHWXHOxiaRZYEDKEwdl129Zyg50+foYV2jCgtrqSA6qNuNSA==
+ dependencies:
+ defer-to-connect "^1.0.1"
+
+ansi-align@^3.0.0:
+ version "3.0.1"
+ resolved "https://registry.yarnpkg.com/ansi-align/-/ansi-align-3.0.1.tgz#0cdf12e111ace773a86e9a1fad1225c43cb19a59"
+ integrity sha512-IOfwwBF5iczOjp/WeY4YxyjqAFMQoZufdQWDd19SEExbVLNXqvpzSJ/M7Za4/sCPmQ0+GRquoA7bGcINcxew6w==
+ dependencies:
+ string-width "^4.1.0"
+
+ansi-colors@^4.1.1:
+ version "4.1.1"
+ resolved "https://registry.yarnpkg.com/ansi-colors/-/ansi-colors-4.1.1.tgz#cbb9ae256bf750af1eab344f229aa27fe94ba348"
+ integrity sha512-JoX0apGbHaUJBNl6yF+p6JAFYZ666/hhCGKN5t9QFjbJQKUU/g8MNbFDbvfrgKXvI1QpZplPOnwIo99lX/AAmA==
+
+ansi-regex@^2.0.0:
+ version "2.1.1"
+ resolved "https://registry.yarnpkg.com/ansi-regex/-/ansi-regex-2.1.1.tgz#c3b33ab5ee360d86e0e628f0468ae7ef27d654df"
+ integrity sha1-w7M6te42DYbg5ijwRorn7yfWVN8=
+
+ansi-regex@^4.1.0:
+ version "4.1.0"
+ resolved "https://registry.yarnpkg.com/ansi-regex/-/ansi-regex-4.1.0.tgz#8b9f8f08cf1acb843756a839ca8c7e3168c51997"
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+
+ansi-regex@^5.0.1:
+ version "5.0.1"
+ resolved "https://registry.yarnpkg.com/ansi-regex/-/ansi-regex-5.0.1.tgz#082cb2c89c9fe8659a311a53bd6a4dc5301db304"
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+
+ansi-styles@^2.2.1:
+ version "2.2.1"
+ resolved "https://registry.yarnpkg.com/ansi-styles/-/ansi-styles-2.2.1.tgz#b432dd3358b634cf75e1e4664368240533c1ddbe"
+ integrity sha1-tDLdM1i2NM914eRmQ2gkBTPB3b4=
+
+ansi-styles@^3.2.0, ansi-styles@^3.2.1:
+ version "3.2.1"
+ resolved "https://registry.yarnpkg.com/ansi-styles/-/ansi-styles-3.2.1.tgz#41fbb20243e50b12be0f04b8dedbf07520ce841d"
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+ dependencies:
+ color-convert "^1.9.0"
+
+ansi-styles@^4.1.0:
+ version "4.3.0"
+ resolved "https://registry.yarnpkg.com/ansi-styles/-/ansi-styles-4.3.0.tgz#edd803628ae71c04c85ae7a0906edad34b648937"
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+ dependencies:
+ color-convert "^2.0.1"
+
+anymatch@~3.1.2:
+ version "3.1.2"
+ resolved "https://registry.yarnpkg.com/anymatch/-/anymatch-3.1.2.tgz#c0557c096af32f106198f4f4e2a383537e378716"
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+ dependencies:
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+ picomatch "^2.0.4"
+
+binary-extensions@^2.0.0:
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+
+boxen@^4.2.0:
+ version "4.2.0"
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+ dependencies:
+ ansi-align "^3.0.0"
+ camelcase "^5.3.1"
+ chalk "^3.0.0"
+ cli-boxes "^2.2.0"
+ string-width "^4.1.0"
+ term-size "^2.1.0"
+ type-fest "^0.8.1"
+ widest-line "^3.1.0"
+
+braces@~3.0.2:
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+
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+
+camelcase@^5.0.0, camelcase@^5.3.1:
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+ strip-ansi "^3.0.0"
+ supports-color "^2.0.0"
+
+chalk@^2.4.2:
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+
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diff --git a/packages/squiggle-old/netlify.toml b/packages/squiggle-old/netlify.toml
new file mode 100644
index 00000000..ff1c0508
--- /dev/null
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+ status = 200
\ No newline at end of file
diff --git a/packages/squiggle-old/package-lock.json b/packages/squiggle-old/package-lock.json
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--- /dev/null
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+ "resolved": "https://registry.npmjs.org/find-up/-/find-up-4.1.0.tgz",
+ "integrity": "sha512-PpOwAdQ/YlXQ2vj8a3h8IipDuYRi3wceVQQGYWxNINccq40Anw7BlsEXCMbt1Zt+OLA6Fq9suIpIWD0OsnISlw==",
+ "requires": {
+ "locate-path": "^5.0.0",
+ "path-exists": "^4.0.0"
+ }
+ },
+ "locate-path": {
+ "version": "5.0.0",
+ "resolved": "https://registry.npmjs.org/locate-path/-/locate-path-5.0.0.tgz",
+ "integrity": "sha512-t7hw9pI+WvuwNJXwk5zVHpyhIqzg2qTlklJOf0mVxGSbe3Fp2VieZcduNYjaLDoy6p9uGpQEGWG87WpMKlNq8g==",
+ "requires": {
+ "p-locate": "^4.1.0"
+ }
+ },
+ "p-locate": {
+ "version": "4.1.0",
+ "resolved": "https://registry.npmjs.org/p-locate/-/p-locate-4.1.0.tgz",
+ "integrity": "sha512-R79ZZ/0wAxKGu3oYMlz8jy/kbhsNrS7SKZ7PxEHBgJ5+F2mtFW2fK2cOtBh1cHYkQsbzFV7I+EoRKe6Yt0oK7A==",
+ "requires": {
+ "p-limit": "^2.2.0"
+ }
+ },
+ "path-exists": {
+ "version": "4.0.0",
+ "resolved": "https://registry.npmjs.org/path-exists/-/path-exists-4.0.0.tgz",
+ "integrity": "sha512-ak9Qy5Q7jYb2Wwcey5Fpvg2KoAc/ZIhLSLOSBmRmygPsGwkVVt0fZa0qrtMz+m6tJTAHfZQ8FnmB4MG4LWy7/w=="
+ }
+ }
+ },
+ "yargs-parser": {
+ "version": "18.1.3",
+ "resolved": "https://registry.npmjs.org/yargs-parser/-/yargs-parser-18.1.3.tgz",
+ "integrity": "sha512-o50j0JeToy/4K6OZcaQmW6lyXXKhq7csREXcDwk2omFPJEwUNOVtJKvmDr9EI1fAJZUyZcRF7kxGBWmRXudrCQ==",
+ "requires": {
+ "camelcase": "^5.0.0",
+ "decamelize": "^1.2.0"
+ }
+ }
+ }
+}
diff --git a/packages/squiggle-old/package.json b/packages/squiggle-old/package.json
new file mode 100644
index 00000000..4adce41a
--- /dev/null
+++ b/packages/squiggle-old/package.json
@@ -0,0 +1,81 @@
+{
+ "name": "estiband",
+ "version": "0.1.0",
+ "homepage": "https://foretold-app.github.io/estiband/",
+ "scripts": {
+ "build": "rescript build",
+ "build:style": "tailwind build src/styles/index.css -o src/styles/tailwind.css",
+ "start": "rescript build -w",
+ "clean": "rescript clean",
+ "parcel": "parcel ./src/index.html",
+ "parcel-build": "parcel build ./src/index.html --no-source-maps --no-autoinstall",
+ "showcase": "PORT=12345 parcel showcase/index.html",
+ "server": "moduleserve ./ --port 8000",
+ "predeploy": "parcel build ./src/index.html --no-source-maps --no-autoinstall",
+ "deploy": "gh-pages -d dist",
+ "test": "jest",
+ "test:ci": "yarn jest",
+ "watch:test": "jest --watchAll",
+ "watch:s": "yarn jest -- Converter_test --watch"
+ },
+ "keywords": [
+ "BuckleScript",
+ "ReasonReact",
+ "reason-react"
+ ],
+ "author": "",
+ "license": "MIT",
+ "dependencies": {
+ "@glennsl/bs-json": "^5.0.2",
+ "@rescript/react": "^0.10.3",
+ "@rescriptbr/reform": "^11.0.1",
+ "ace-builds": "^1.4.12",
+ "antd": "^4.18.5",
+ "autoprefixer": "9.8.8",
+ "babel-plugin-transform-es2015-modules-commonjs": "^6.26.2",
+ "binary-search-tree": "0.2.6",
+ "bs-ant-design-alt": "2.0.0-alpha.33",
+ "bs-css": "^15.1.0",
+ "bs-css-dom": "^3.1.0",
+ "bs-moment": "0.6.0",
+ "bs-reform": "^10.0.3",
+ "bsb-js": "1.1.7",
+ "d3": "7.3.0",
+ "gh-pages": "2.2.0",
+ "jest": "^25.5.1",
+ "jstat": "1.9.2",
+ "lenses-ppx": "5.1.0",
+ "less": "3.10.3",
+ "lodash": "4.17.15",
+ "mathjs": "5.10.3",
+ "moduleserve": "0.9.1",
+ "moment": "2.24.0",
+ "pdfast": "^0.2.0",
+ "postcss-cli": "7.1.0",
+ "rationale": "0.2.0",
+ "react": "^16.10.0",
+ "react-ace": "^9.2.0",
+ "react-dom": "^0.13.0 || ^0.14.0 || ^15.0.1 || ^16.0.0",
+ "react-use": "^17.3.2",
+ "react-vega": "^7.4.4",
+ "reason-react": ">=0.7.0",
+ "reschema": "^2.2.0",
+ "rescript": "^9.1.4",
+ "tailwindcss": "1.2.0",
+ "vega": "*",
+ "vega-embed": "6.6.0",
+ "vega-lite": "*"
+ },
+ "devDependencies": {
+ "@glennsl/bs-jest": "^0.5.1",
+ "bs-platform": "9.0.2",
+ "docsify": "^4.12.2",
+ "parcel-bundler": "1.12.4",
+ "parcel-plugin-bundle-visualiser": "^1.2.0",
+ "parcel-plugin-less-js-enabled": "1.0.2"
+ },
+ "alias": {
+ "react": "./node_modules/react",
+ "react-dom": "./node_modules/react-dom"
+ }
+}
diff --git a/packages/squiggle-old/postcss.config.js b/packages/squiggle-old/postcss.config.js
new file mode 100644
index 00000000..39af7142
--- /dev/null
+++ b/packages/squiggle-old/postcss.config.js
@@ -0,0 +1,8 @@
+//postcss.config.js
+ const tailwindcss = require('tailwindcss');
+ module.exports = {
+ plugins: [
+ tailwindcss('./tailwind.js'),
+ require('autoprefixer'),
+ ],
+ };
\ No newline at end of file
diff --git a/packages/squiggle-old/shell.nix b/packages/squiggle-old/shell.nix
new file mode 100644
index 00000000..5f644846
--- /dev/null
+++ b/packages/squiggle-old/shell.nix
@@ -0,0 +1,5 @@
+{ pkgs ? import {} }:
+pkgs.mkShell {
+ name = "squiggle";
+ buildInputs = with pkgs; [ yarn yarn2nix nodePackages.npm ];
+}
diff --git a/packages/squiggle-old/showcase/Entries.re b/packages/squiggle-old/showcase/Entries.re
new file mode 100644
index 00000000..51f2f9b1
--- /dev/null
+++ b/packages/squiggle-old/showcase/Entries.re
@@ -0,0 +1 @@
+let entries = [];
\ No newline at end of file
diff --git a/packages/squiggle-old/showcase/EntryTypes.re b/packages/squiggle-old/showcase/EntryTypes.re
new file mode 100644
index 00000000..49a61a33
--- /dev/null
+++ b/packages/squiggle-old/showcase/EntryTypes.re
@@ -0,0 +1,30 @@
+type compEntry = {
+ mutable id: string,
+ title: string,
+ render: unit => React.element,
+ container: containerType,
+}
+and folderEntry = {
+ mutable id: string,
+ title: string,
+ children: list(navEntry),
+}
+and navEntry =
+ | CompEntry(compEntry)
+ | FolderEntry(folderEntry)
+and containerType =
+ | FullWidth
+ | Sidebar;
+
+let entry = (~title, ~render): navEntry => {
+ CompEntry({id: "", title, render, container: FullWidth});
+};
+
+// Maybe different api, this avoids breaking changes
+let sidebar = (~title, ~render): navEntry => {
+ CompEntry({id: "", title, render, container: Sidebar});
+};
+
+let folder = (~title, ~children): navEntry => {
+ FolderEntry({id: "", title, children});
+};
diff --git a/packages/squiggle-old/showcase/Lib.res b/packages/squiggle-old/showcase/Lib.res
new file mode 100644
index 00000000..aa388f9e
--- /dev/null
+++ b/packages/squiggle-old/showcase/Lib.res
@@ -0,0 +1,163 @@
+open EntryTypes
+
+module HS = Belt.HashMap.String
+
+let entriesByPath: HS.t = HS.make(~hintSize=100)
+
+/* Creates unique id's per scope based on title */
+let buildIds = entries => {
+ let genId = (title, path) => {
+ let noSpaces = Js.String.replaceByRe(%re("/\\s+/g"), "-", title)
+ if !HS.has(entriesByPath, path ++ ("/" ++ noSpaces)) {
+ noSpaces
+ } else {
+ let rec loop = num => {
+ let testId = noSpaces ++ ("-" ++ string_of_int(num))
+ if !HS.has(entriesByPath, path ++ ("/" ++ testId)) {
+ testId
+ } else {
+ loop(num + 1)
+ }
+ }
+ loop(2)
+ }
+ }
+ let rec processFolder = (f: folderEntry, curPath) => {
+ f.id = curPath ++ ("/" ++ genId(f.title, curPath))
+ HS.set(entriesByPath, f.id, FolderEntry(f))
+ f.children |> E.L.iter(x =>
+ switch x {
+ | CompEntry(c) => processEntry(c, f.id)
+ | FolderEntry(f) => processFolder(f, f.id)
+ }
+ )
+ }
+ and processEntry = (c: compEntry, curPath) => {
+ c.id = curPath ++ ("/" ++ genId(c.title, curPath))
+ HS.set(entriesByPath, c.id, CompEntry(c))
+ }
+ entries |> E.L.iter(x =>
+ switch x {
+ | CompEntry(c) => processEntry(c, "")
+ | FolderEntry(f) => processFolder(f, "")
+ }
+ )
+}
+
+let entries = Entries.entries
+buildIds(entries)
+
+module Styles = {
+ open CssJs
+ let pageContainer = style(. [ display(#flex), height(#vh(100.)) ])
+ let leftNav = style(. [ padding(#em(2.)),
+ flexBasis(#px(200)),
+ flexShrink(0.),
+ backgroundColor(#hex("eaeff3")),
+ boxShadows([ Shadow.box(~x=px(-1), ~blur=px(1), ~inset=true, rgba(0, 0, 0, #percent(0.1))) ]),
+])
+
+let folderNav = style(. [ selector(.
+ ">h4",
+ [ cursor(#pointer), margin2(~v=#em(0.3), ~h=#zero), hover([ color(#hex("7089ad")) ]) ],
+),
+ ])
+ let folderChildren = style(. [ paddingLeft(#px(7)) ])
+ let compNav = style(. [ cursor(#pointer),
+ paddingBottom(#px(3)),
+ hover([ color(#hex("7089ad")) ]),
+])
+ let compContainer = style(. [ padding(#em(2.)), flexGrow(1.) ])
+ // Approximate sidebar container for entry
+ let sidebarContainer = style(. [ maxWidth(#px(430)) ])
+ let folderChildContainer = style(. [ marginBottom(#em(2.)) ])
+}
+
+let baseUrl = "/showcase/index.html"
+
+module Index = {
+ type state = {route: RescriptReactRouter.url}
+
+ type action =
+ | ItemClick(string)
+ | ChangeRoute(RescriptReactRouter.url)
+
+ let changeId = (id: string) => {
+ let _ = RescriptReactRouter.push(baseUrl ++ ("#" ++ id))
+ }
+
+ let buildNav = _ => {
+ let rec buildFolder = (f: folderEntry) =>
+
+
changeId(f.id)}> {f.title->React.string}
+
+ {(f.children
+ |> E.L.fmap(e =>
+ switch e {
+ | FolderEntry(folder) => buildFolder(folder)
+ | CompEntry(entry) => buildEntry(entry)
+ }
+ )
+ |> E.L.toArray)->React.array}
+
+
+ and buildEntry = (e: compEntry) =>
+ changeId(e.id)}>
+ {e.title->React.string}
+
+ (entries
+ |> E.L.fmap(e =>
+ switch e {
+ | FolderEntry(folder) => buildFolder(folder)
+ | CompEntry(entry) => buildEntry(entry)
+ }
+ )
+ |> E.L.toArray)->React.array
+ }
+
+ let renderEntry = e =>
+ switch e.container {
+ | FullWidth => e.render()
+ | Sidebar => {e.render()}
+ }
+
+ @react.component
+ let make = () => {
+ let (route, setRoute) = React.useState(() => {
+ let url: RescriptReactRouter.url = {path: list{}, hash: "", search: ""}
+ url
+ })
+
+ React.useState(() => {
+ let _ = RescriptReactRouter.watchUrl(url => setRoute(_ => url))
+ }) |> ignore
+
+
+
{buildNav(setRoute)}
+
+ {if route.hash == "" {
+ React.null
+ } else {
+ switch HS.get(entriesByPath, route.hash) {
+ | Some(navEntry) =>
+ switch navEntry {
+ | CompEntry(c) => renderEntry(c)
+ | FolderEntry(f) =>
+ /* Rendering immediate children */
+ (f.children
+ |> E.L.fmap(child =>
+ switch child {
+ | CompEntry(c) =>
+
{renderEntry(c)}
+ | _ => React.null
+ }
+ )
+ |> E.L.toArray)->React.array
+ }
+ | None =>
{"Component not found"->React.string}
+ }
+ }}
+
+
+ }
+}
diff --git a/packages/squiggle-old/showcase/ShowcaseIndex.res b/packages/squiggle-old/showcase/ShowcaseIndex.res
new file mode 100644
index 00000000..4d5b669d
--- /dev/null
+++ b/packages/squiggle-old/showcase/ShowcaseIndex.res
@@ -0,0 +1,5 @@
+switch(ReactDOM.querySelector("main")){
+| Some(root) => ReactDOM.render(
, root)
+| None => () // do nothing
+}
+RescriptReactRouter.push("")
diff --git a/packages/squiggle-old/showcase/index.html b/packages/squiggle-old/showcase/index.html
new file mode 100644
index 00000000..b459bc86
--- /dev/null
+++ b/packages/squiggle-old/showcase/index.html
@@ -0,0 +1,24 @@
+
+
+
+
+
+
+
+
+
+
+
+ Showcase
+
+
+
+
+
+
+
+
\ No newline at end of file
diff --git a/packages/squiggle-old/src/Antd/Antd.res b/packages/squiggle-old/src/Antd/Antd.res
new file mode 100644
index 00000000..8c52bce4
--- /dev/null
+++ b/packages/squiggle-old/src/Antd/Antd.res
@@ -0,0 +1,6 @@
+module Input = Antd_Input
+module Grid = Antd_Grid
+module Form = Antd_Form
+module Card = Antd_Card
+module Button = Antd_Button
+module IconName = Antd_IconName
diff --git a/packages/squiggle-old/src/Antd/Antd_Button.res b/packages/squiggle-old/src/Antd/Antd_Button.res
new file mode 100644
index 00000000..e8554043
--- /dev/null
+++ b/packages/squiggle-old/src/Antd/Antd_Button.res
@@ -0,0 +1,38 @@
+
+@deriving(abstract)
+type props
+type makeType = props => React.element
+
+@obj external makeProps:
+ (
+ ~disabled: bool=?,
+ ~ghost: bool=?,
+ ~href: string=?,
+ ~htmlType: @string [#button | #submit | #submit]=?,
+ ~icon: 'a=?,
+ ~shape: @string [#circle | #round]=?,
+ ~size: @string [#small | #large]=?,
+ ~target: string=?,
+ ~loading: bool=?,
+ ~_type: @string
+ [
+ | #primary
+ | #default
+ | #dashed
+ | #danger
+ | #link
+ | #ghost
+ ]=?,
+ ~onClick: ReactEvent.Mouse.t => unit=?,
+ ~block: bool=?,
+ ~children: React.element=?,
+ ~className: string=?,
+ ~id: string=?,
+ ~testId: string=?,
+ unit
+ ) =>
+ props =
+ ""
+
+@module("antd")
+external make : makeType = "Button"
diff --git a/packages/squiggle-old/src/Antd/Antd_Card.res b/packages/squiggle-old/src/Antd/Antd_Card.res
new file mode 100644
index 00000000..b53c11f7
--- /dev/null
+++ b/packages/squiggle-old/src/Antd/Antd_Card.res
@@ -0,0 +1,32 @@
+
+@deriving(abstract)
+type props
+type makeType = props => React.element
+
+@obj external makeProps: (
+ ~actions: array=?,
+ ~activeTabKey: string=?,
+ ~headStyle: ReactDOMStyle.t=?,
+ ~bodyStyle: ReactDOMStyle.t=?,
+ ~style: ReactDOMStyle.t=?,
+ ~bordered: bool=?,
+ ~cover: React.element=?,
+ ~defaultActiveTabKey: string=?,
+ ~extra: React.element=?,
+ ~hoverable: bool=?,
+ ~loading: bool=?,
+ ~tabList: array<{
+ "key": string,
+ "tab": React.element,
+ }>
+ =?,
+ ~size: @string [ #default | #small]=?,
+ ~title: 'a=?,
+ ~_type: string=?,
+ ~onTabChange: string => unit=?,
+ ~children: React.element=?,
+ unit // This unit is a quirk of the type system. Apparently it must exist to have optional arguments in a type
+ ) => props = ""
+
+@module("antd")
+external make : makeType = "Card"
diff --git a/packages/squiggle-old/src/Antd/Antd_Form.res b/packages/squiggle-old/src/Antd/Antd_Form.res
new file mode 100644
index 00000000..ea412d11
--- /dev/null
+++ b/packages/squiggle-old/src/Antd/Antd_Form.res
@@ -0,0 +1,52 @@
+
+@deriving(abstract)
+type props
+type makeType = props => React.element
+
+@obj
+external makeProps:
+ (
+ ~onSubmit: ReactEvent.Form.t => unit=?,
+ ~hideRequiredMark: bool=?,
+ ~id: string=?,
+ ~className: string=?,
+ ~style: ReactDOMStyle.t=?,
+ ~colon: bool=?,
+ ~validateStatus: string=?,
+ ~extra: string=?,
+ ~required: bool=?,
+ ~label: string=?,
+ ~help: string=?,
+ ~hasFeedback: bool=?,
+ ~children:React.element=?,
+ unit
+ ) =>
+ props =
+ ""
+
+
+@module("antd")
+external make : makeType = "Form"
+
+module Item = {
+ type props
+ type makeType = props => React.element
+ @obj
+ external makeProps:
+ (
+ ~colon:string=?,
+ ~validateStatus:string=?,
+ ~extra:string=?,
+ ~className:string=?,
+ ~required:bool=?,
+ ~style:ReactDOMStyle.t=?,
+ ~label:string=?,
+ ~id:string=?,
+ ~help:string=?,
+ ~hasFeedback:bool=?,
+ ~children:React.element=?,
+ unit
+ ) => props = ""
+ @module("antd")
+ external make : makeType = "Form.Item"
+}
diff --git a/packages/squiggle-old/src/Antd/Antd_Grid.res b/packages/squiggle-old/src/Antd/Antd_Grid.res
new file mode 100644
index 00000000..1b0d4189
--- /dev/null
+++ b/packages/squiggle-old/src/Antd/Antd_Grid.res
@@ -0,0 +1,58 @@
+
+
+module Row = {
+ type props
+
+ @obj
+ external makeProps:
+ (
+ ~className: string=?,
+ ~_type: string=?,
+ ~align: string=?,
+ ~justify: string=?,
+ ~gutter: 'a=?,
+ ~style: ReactDOMStyle.t=?,
+ ~prefixCls: string=?,
+ ~children: React.element=?,
+ unit
+ ) =>
+ props =
+ "";
+
+ type makeType = props => React.element
+
+ @module("antd")
+ external make : makeType = "Row"
+}
+
+module Col = {
+ type props
+
+ @obj
+ external makeProps:
+ (
+ ~className: string=?,
+ ~span: int=?,
+ ~order: int=?,
+ ~offset: int=?,
+ ~push: int=?,
+ ~pull: int=?,
+ ~xs: 'a=?,
+ ~sm: 'b=?,
+ ~md: 'c=?,
+ ~lg: 'd=?,
+ ~xl: 'e=?,
+ ~xxl: 'f=?,
+ ~prefixCls: string=?,
+ ~style: ReactDOMStyle.t=?,
+ ~children: React.element=?,
+ unit
+ ) =>
+ props =
+ "";
+
+ type makeType = props => React.element
+
+ @module("antd")
+ external make : makeType = "Col"
+}
diff --git a/packages/squiggle-old/src/Antd/Antd_IconName.res b/packages/squiggle-old/src/Antd/Antd_IconName.res
new file mode 100644
index 00000000..dd31b26b
--- /dev/null
+++ b/packages/squiggle-old/src/Antd/Antd_IconName.res
@@ -0,0 +1,581 @@
+type t = string
+
+let toString = t => t
+
+let fromString = t => t
+
+let compare = (t1, t2) => t1 == t2
+
+let stepBackward = "step-backward"
+
+let stepForward = "step-forward"
+
+let fastBackward = "fast-backward"
+
+let fastForward = "fast-forward"
+
+let shrink = "shrink"
+
+let arrowsAlt = "arrows-alt"
+
+let down = "down"
+
+let up = "up"
+
+let left = "left"
+
+let right = "right"
+
+let caretUp = "caret-up"
+
+let caretDown = "caret-down"
+
+let caretLeft = "caret-left"
+
+let caretRight = "caret-right"
+
+let upCircle = "up-circle"
+
+let downCircle = "down-circle"
+
+let leftCircle = "left-circle"
+
+let rightCircle = "right-circle"
+
+let upCircleO = "up-circle-o"
+
+let downCircleO = "down-circle-o"
+
+let rightCircleO = "right-circle-o"
+
+let leftCircleO = "left-circle-o"
+
+let doubleRight = "double-right"
+
+let doubleLeft = "double-left"
+
+let verticleLeft = "verticle-left"
+
+let verticleRight = "verticle-right"
+
+let forward = "forward"
+
+let backward = "backward"
+
+let rollback = "rollback"
+
+let enter = "enter"
+
+let retweet = "retweet"
+
+let swap = "swap"
+
+let swapLeft = "swap-left"
+
+let swapRight = "swap-right"
+
+let arrowUp = "arrow-up"
+
+let arrowDown = "arrow-down"
+
+let arrowLeft = "arrow-left"
+
+let arrowRight = "arrow-right"
+
+let playCircle = "play-circle"
+
+let playCircleO = "play-circle-o"
+
+let upSquare = "up-square"
+
+let downSquare = "down-square"
+
+let leftSquare = "left-square"
+
+let rightSquare = "right-square"
+
+let upSquareO = "up-square-o"
+
+let downSquareO = "down-square-o"
+
+let leftSquareO = "left-square-o"
+
+let rightSquareO = "right-square-o"
+
+let login = "login"
+
+let logout = "logout"
+
+let menuFold = "menu-fold"
+
+let menuUnfold = "menu-unfold"
+
+let question = "question"
+
+let questionCircleO = "question-circle-o"
+
+let questionCircle = "question-circle"
+
+let plus = "plus"
+
+let plusCircleO = "plus-circle-o"
+
+let plusCircle = "plus-circle"
+
+let pause = "pause"
+
+let pauseCircleO = "pause-circle-o"
+
+let pauseCircle = "pause-circle"
+
+let minus = "minus"
+
+let minusCircleO = "minus-circle-o"
+
+let minusCircle = "minus-circle"
+
+let plusSquare = "plus-square"
+
+let plusSquareO = "plus-square-o"
+
+let minusSquare = "minus-square"
+
+let minusSquareO = "minus-square-o"
+
+let info = "info"
+
+let infoCircleO = "info-circle-o"
+
+let infoCircle = "info-circle"
+
+let exclamation = "exclamation"
+
+let exclamationCircleO = "exclamation-circle-o"
+
+let exclamationCircle = "exclamation-circle"
+
+let close = "close"
+
+let closeCircle = "close-circle"
+
+let closeCircleO = "close-circle-o"
+
+let closeSquare = "close-square"
+
+let closeSquareO = "close-square-o"
+
+let check = "check"
+
+let checkCircle = "check-circle"
+
+let checkCircleO = "check-circle-o"
+
+let checkSquare = "check-square"
+
+let checkSquareO = "check-square-o"
+
+let clockCircleO = "clock-circle-o"
+
+let clockCircle = "clock-circle"
+
+let warning = "warning"
+
+let lock = "lock"
+
+let unlock = "unlock"
+
+let areaChart = "area-chart"
+
+let pieChart = "pie-chart"
+
+let barChart = "bar-chart"
+
+let dotChart = "dot-chart"
+
+let bars = "bars"
+
+let book = "book"
+
+let calendar = "calendar"
+
+let cloud = "cloud"
+
+let cloudDownload = "cloud-download"
+
+let code = "code"
+
+let codeO = "code-o"
+
+let copy = "copy"
+
+let creditCard = "credit-card"
+
+let delete = "delete"
+
+let desktop = "desktop"
+
+let download = "download"
+
+let edit = "edit"
+
+let ellipsis = "ellipsis"
+
+let file = "file"
+
+let fileText = "file-text"
+
+let fileUnknown = "file-unknown"
+
+let filePdf = "file-pdf"
+
+let fileWord = "file-word"
+
+let fileExcel = "file-excel"
+
+let fileJpg = "file-jpg"
+
+let filePpt = "file-ppt"
+
+let fileMarkdown = "file-markdown"
+
+let fileAdd = "file-add"
+
+let folder = "folder"
+
+let folderOpen = "folder-open"
+
+let folderAdd = "folder-add"
+
+let hdd = "hdd"
+
+let frown = "frown"
+
+let frownO = "frown-o"
+
+let meh = "meh"
+
+let mehO = "meh-o"
+
+let smile = "smile"
+
+let smileO = "smile-o"
+
+let inbox = "inbox"
+
+let laptop = "laptop"
+
+let appstoreO = "appstore-o"
+
+let appstore = "appstore"
+
+let lineChart = "line-chart"
+
+let link = "link"
+
+let mail = "mail"
+
+let mobile = "mobile"
+
+let notification = "notification"
+
+let paperClip = "paper-clip"
+
+let picture = "picture"
+
+let poweroff = "poweroff"
+
+let reload = "reload"
+
+let search = "search"
+
+let setting = "setting"
+
+let shareAlt = "share-alt"
+
+let shoppingCart = "shopping-cart"
+
+let tablet = "tablet"
+
+let tag = "tag"
+
+let tagO = "tag-o"
+
+let tags = "tags"
+
+let tagsO = "tags-o"
+
+let toTop = "to-top"
+
+let upload = "upload"
+
+let user = "user"
+
+let videoCamera = "video-camera"
+
+let home = "home"
+
+let loading = "loading"
+
+let loading3Quarters = "loading-3-quarters"
+
+let cloudUploadO = "cloud-upload-o"
+
+let cloudDownloadO = "cloud-download-o"
+
+let cloudUpload = "cloud-upload"
+
+let cloudO = "cloud-o"
+
+let starO = "star-o"
+
+let star = "star"
+
+let heartO = "heart-o"
+
+let heart = "heart"
+
+let environment = "environment"
+
+let environmentO = "environment-o"
+
+let eye = "eye"
+
+let eyeO = "eye-o"
+
+let camera = "camera"
+
+let cameraO = "camera-o"
+
+let save = "save"
+
+let team = "team"
+
+let solution = "solution"
+
+let phone = "phone"
+
+let filter = "filter"
+
+let exception_ = "exception"
+
+let \"export" = "export"
+
+let customerService = "customer-service"
+
+let qrcode = "qrcode"
+
+let scan = "scan"
+
+let like = "like"
+
+let likeO = "like-o"
+
+let dislike = "dislike"
+
+let dislikeO = "dislike-o"
+
+let message = "message"
+
+let payCircle = "pay-circle"
+
+let payCircleO = "pay-circle-o"
+
+let calculator = "calculator"
+
+let pushpin = "pushpin"
+
+let pushpinO = "pushpin-o"
+
+let bulb = "bulb"
+
+let select = "select"
+
+let switcher = "switcher"
+
+let rocket = "rocket"
+
+let bell = "bell"
+
+let disconnect = "disconnect"
+
+let database = "database"
+
+let compass = "compass"
+
+let barcode = "barcode"
+
+let hourglass = "hourglass"
+
+let key = "key"
+
+let flag = "flag"
+
+let layout = "layout"
+
+let printer = "printer"
+
+let sound = "sound"
+
+let usb = "usb"
+
+let skin = "skin"
+
+let tool = "tool"
+
+let sync = "sync"
+
+let wifi = "wifi"
+
+let car = "car"
+
+let schedule = "schedule"
+
+let userAdd = "user-add"
+
+let userDelete = "user-delete"
+
+let usergroupAdd = "usergroup-add"
+
+let usergroupDelete = "usergroup-delete"
+
+let man = "man"
+
+let woman = "woman"
+
+let shop = "shop"
+
+let gift = "gift"
+
+let idcard = "idcard"
+
+let medicineBox = "medicine-box"
+
+let redEnvelope = "red-envelope"
+
+let coffee = "coffee"
+
+let copyright = "copyright"
+
+let trademark = "trademark"
+
+let safety = "safety"
+
+let wallet = "wallet"
+
+let bank = "bank"
+
+let trophy = "trophy"
+
+let contacts = "contacts"
+
+let global = "global"
+
+let shake = "shake"
+
+let api = "api"
+
+let fork = "fork"
+
+let dashboard = "dashboard"
+
+let form = "form"
+
+let table = "table"
+
+let profile = "profile"
+
+let android = "android"
+
+let androidO = "android-o"
+
+let apple = "apple"
+
+let appleO = "apple-o"
+
+let windows = "windows"
+
+let windowsO = "windows-o"
+
+let ie = "ie"
+
+let chrome = "chrome"
+
+let github = "github"
+
+let aliwangwang = "aliwangwang"
+
+let aliwangwangO = "aliwangwang-o"
+
+let dingding = "dingding"
+
+let dingdingO = "dingding-o"
+
+let weiboSquare = "weibo-square"
+
+let weiboCircle = "weibo-circle"
+
+let taobaoCircle = "taobao-circle"
+
+let html5 = "html5"
+
+let weibo = "weibo"
+
+let twitter = "twitter"
+
+let wechat = "wechat"
+
+let youtube = "youtube"
+
+let alipayCircle = "alipay-circle"
+
+let taobao = "taobao"
+
+let skype = "skype"
+
+let qq = "qq"
+
+let mediumWorkmark = "medium-workmark"
+
+let gitlab = "gitlab"
+
+let medium = "medium"
+
+let linkedin = "linkedin"
+
+let googlePlus = "google-plus"
+
+let dropbox = "dropbox"
+
+let facebook = "facebook"
+
+let codepen = "codepen"
+
+let amazon = "amazon"
+
+let google = "google"
+
+let codepenCircle = "codepen-circle"
+
+let alipay = "alipay"
+
+let antDesign = "ant-design"
+
+let aliyun = "aliyun"
+
+let zhihu = "zhihu"
+
+let slack = "slack"
+
+let slackSquare = "slack-square"
+
+let behance = "behance"
+
+let behanceSquare = "behance-square"
+
+let dribbble = "dribbble"
+
+let dribbbleSquare = "dribbble-square"
+
+let instagram = "instagram"
+
+let yuque = "yuque"
diff --git a/packages/squiggle-old/src/Antd/Antd_Input.res b/packages/squiggle-old/src/Antd/Antd_Input.res
new file mode 100644
index 00000000..756d911a
--- /dev/null
+++ b/packages/squiggle-old/src/Antd/Antd_Input.res
@@ -0,0 +1,21 @@
+@deriving(abstract)
+type props
+type makeType = props => React.element
+
+@obj external makeProps: (
+ @as("type")
+ ~htmlType: string=?,
+ ~name: string=?,
+ ~value: string=?,
+ ~defaultValue: string=?,
+ ~onChange: ReactEvent.Form.t => unit=?,
+ ~onPressEnter: ReactEvent.Keyboard.t => unit=?,
+ ~onBlur: ReactEvent.Focus.t => unit=?,
+ ~className: string=?,
+ ~style: ReactDOMStyle.t=?,
+ ~placeholder: string=?,
+ unit // This unit is a quirk of the type system. Apparently it must exist to have optional arguments in a type
+ ) => props = ""
+
+@module("antd")
+external make : makeType = "Input"
diff --git a/packages/squiggle-old/src/App.res b/packages/squiggle-old/src/App.res
new file mode 100644
index 00000000..aafe50fa
--- /dev/null
+++ b/packages/squiggle-old/src/App.res
@@ -0,0 +1,78 @@
+type route =
+ | DistBuilder
+ | Home
+ | NotFound
+
+let routeToPath = route =>
+ switch route {
+ | DistBuilder => "/dist-builder"
+ | Home => "/"
+ | _ => "/"
+ }
+
+module Menu = {
+ module Styles = {
+ open CssJs
+ let menu = style(. [ position(#relative),
+ marginTop(em(0.25)),
+ marginBottom(em(0.25)),
+ selector(.
+ "a",
+ [ borderRadius(em(0.25)),
+ display(#inlineBlock),
+ backgroundColor(#hex("eee")),
+ padding(em(1.)),
+ cursor(#pointer),
+ ],
+ ),
+ selector(. "a:hover", [ backgroundColor(#hex("bfcad4")) ]),
+ selector(. "a:hover", [ backgroundColor(#hex("bfcad4")) ]),
+ selector(.
+ "a:not(:firstChild):not(:lastChild)",
+ [ marginRight(em(0.25)), marginLeft(em(0.25)) ],
+ ),
+ ])
+ }
+
+ module Item = {
+ @react.component
+ let make = (~href, ~children) =>
+ {
+ e->ReactEvent.Synthetic.preventDefault
+ RescriptReactRouter.push(href)
+ }}>
+ children
+
+ }
+
+ @react.component
+ let make = () =>
+
+ - {"Home" |> R.ste}
+ - {"Dist Builder" |> R.ste}
+
+}
+
+let fixedLength = r => r
+
+@react.component
+let make = () => {
+ let url = RescriptReactRouter.useUrl()
+
+ let routing = switch url.path {
+ | list{"dist-builder"} => DistBuilder
+ | list{} => Home
+ | _ => NotFound
+ }
+
+ <>
+
+ {switch routing {
+ | DistBuilder =>
+ | Home =>
+ | _ => fixedLength("Page is not found" |> R.ste)
+ }}
+ >
+}
diff --git a/packages/squiggle-old/src/ExampleStyles.re b/packages/squiggle-old/src/ExampleStyles.re
new file mode 100644
index 00000000..4a097747
--- /dev/null
+++ b/packages/squiggle-old/src/ExampleStyles.re
@@ -0,0 +1,44 @@
+let reasonReactBlue = "#48a9dc";
+
+// The {j|...|j} feature is just string interpolation, from
+// bucklescript.github.io/docs/en/interop-cheatsheet#string-unicode-interpolation
+// This allows us to conveniently write CSS, together with variables, by
+// constructing a string
+let style = {j|
+ body {
+ background-color: rgb(224, 226, 229);
+ display: flex;
+ flex-direction: column;
+ align-items: center;
+ }
+ button {
+ background-color: white;
+ color: $reasonReactBlue;
+ box-shadow: 0 0 0 1px $reasonReactBlue;
+ border: none;
+ padding: 8px;
+ font-size: 16px;
+ }
+ button:active {
+ background-color: $reasonReactBlue;
+ color: white;
+ }
+ .container {
+ margin: 12px 0px;
+ box-shadow: 0px 4px 16px rgb(200, 200, 200);
+ width: 720px;
+ border-radius: 12px;
+ font-family: sans-serif;
+ }
+ .containerTitle {
+ background-color: rgb(242, 243, 245);
+ border-radius: 12px 12px 0px 0px;
+ padding: 12px;
+ font-weight: bold;
+ }
+ .containerContent {
+ background-color: white;
+ padding: 16px;
+ border-radius: 0px 0px 12px 12px;
+ }
+|j};
diff --git a/packages/squiggle-old/src/GuesstimatorDist.re b/packages/squiggle-old/src/GuesstimatorDist.re
new file mode 100644
index 00000000..eb843076
--- /dev/null
+++ b/packages/squiggle-old/src/GuesstimatorDist.re
@@ -0,0 +1,21 @@
+let normal = (mean: float, std: float) =>
+ Js.Float.(
+ {
+ let nMean = toPrecisionWithPrecision(mean, ~digits=4);
+ let nStd = toPrecisionWithPrecision(std, ~digits=2);
+ {j|normal($(nMean), $(nStd))|j};
+ }
+ );
+
+let logNormal = (mean: float, std: float) => {
+ Js.Float.(
+ {
+ let nMean = toPrecisionWithPrecision(mean, ~digits=4);
+ let nStd = toPrecisionWithPrecision(std, ~digits=2);
+ {j|lognormal({mean: $(nMean), stdev: $(nStd)})|j};
+ }
+ );
+};
+
+let divide = (str1: string, str2: string) => {j|$(str1)/$(str2)|j};
+let min = (str1: string, str2: string) => {j|min($(str1),$(str2))|j};
\ No newline at end of file
diff --git a/packages/squiggle-old/src/Index.res b/packages/squiggle-old/src/Index.res
new file mode 100644
index 00000000..1736bfeb
--- /dev/null
+++ b/packages/squiggle-old/src/Index.res
@@ -0,0 +1,5 @@
+%raw(`import('./styles/index.css')`)
+switch ReactDOM.querySelector("#app") {
+| Some(root) => ReactDOM.render(, root)
+| None => ()
+}
diff --git a/packages/squiggle-old/src/R.res b/packages/squiggle-old/src/R.res
new file mode 100644
index 00000000..3948fa90
--- /dev/null
+++ b/packages/squiggle-old/src/R.res
@@ -0,0 +1,8 @@
+let ste = React.string
+let showIf = (cond, comp) => cond ? comp : React.null
+
+module O = {
+ let defaultNull = E.O.default(React.null)
+ let fmapOrNull = (fn, el) => el |> E.O.fmap(fn) |> E.O.default(React.null)
+ let flatten = E.O.default(React.null)
+}
diff --git a/packages/squiggle-old/src/components/CodeEditor.js b/packages/squiggle-old/src/components/CodeEditor.js
new file mode 100644
index 00000000..792ab7ed
--- /dev/null
+++ b/packages/squiggle-old/src/components/CodeEditor.js
@@ -0,0 +1,36 @@
+import React from "react";
+import AceEditor from "react-ace";
+
+import "ace-builds/src-noconflict/mode-golang";
+import "ace-builds/src-noconflict/theme-github";
+import "ace-builds/src-noconflict/ext-language_tools";
+import "ace-builds/src-noconflict/keybinding-vim";
+
+function onChange(newValue) {
+ console.log("change", newValue);
+}
+
+export function CodeEditor(props) {
+ return (
+
+ );
+}
diff --git a/packages/squiggle-old/src/components/CodeEditor.res b/packages/squiggle-old/src/components/CodeEditor.res
new file mode 100644
index 00000000..34b8e927
--- /dev/null
+++ b/packages/squiggle-old/src/components/CodeEditor.res
@@ -0,0 +1,5 @@
+type props
+@obj external makeProps : (~value:string=?, ~onChange: string => unit, ~children: React.element=?, unit) => props = ""
+
+@module("./CodeEditor.js")
+external make: props => React.element = "CodeEditor"
diff --git a/packages/squiggle-old/src/components/DistBuilder.res b/packages/squiggle-old/src/components/DistBuilder.res
new file mode 100644
index 00000000..b7cc89ca
--- /dev/null
+++ b/packages/squiggle-old/src/components/DistBuilder.res
@@ -0,0 +1,271 @@
+open ReForm
+open Antd.Grid
+
+module FormConfig = %lenses(
+ type state = {
+ squiggleString: string,
+ sampleCount: string,
+ outputXYPoints: string,
+ downsampleTo: string,
+ kernelWidth: string,
+ diagramStart: string,
+ diagramStop: string,
+ diagramCount: string,
+ }
+)
+
+type options = {
+ sampleCount: int,
+ outputXYPoints: int,
+ downsampleTo: option,
+ kernelWidth: option,
+ diagramStart: float,
+ diagramStop: float,
+ diagramCount: int,
+}
+
+module Form = ReForm.Make(FormConfig)
+
+module FieldText = {
+ @react.component
+ let make = (~field, ~label) => <>
+ {
+ Js.Console.log(CodeEditor.make);
+ ( handleChange(r)} />)
+ }
+ }
+ />
+ >
+}
+module FieldString = {
+ @react.component
+ let make = (~field, ~label) =>
+
+
+ validate()}
+ />
+ }
+ />
+}
+
+module FieldFloat = {
+ @react.component
+ let make = (~field, ~label, ~className=CssJs.style(. [])) =>
+
+ validate()}
+ style={className}
+ />
+ }
+ />
+}
+
+module Styles = {
+ open CssJs
+ let rows = style(. [ selector(. ">.antCol:firstChild", [ paddingLeft(em(0.25)), paddingRight(em(0.125)) ]),
+ selector(. ">.antCol:lastChild", [ paddingLeft(em(0.125)), paddingRight(em(0.25)) ]),
+ selector(.
+ ">.antCol:not(:firstChild):not(:lastChild)",
+ [ paddingLeft(em(0.125)), paddingRight(em(0.125)) ],
+ ),
+])
+let parent = style(. [ selector(. ".antInputNumber", [ width(#percent(100.)) ]),
+selector(. ".anticon", [ verticalAlign(#zero) ]),
+ ])
+ let form = style(. [ backgroundColor(hex("eee")), padding(em(1.)) ])
+ let dist = style(. [ padding(em(1.)) ])
+ let spacer = style(. [ marginTop(em(1.)) ])
+ let groupA = style(. [ selector(. ".antInputNumberInput", [ backgroundColor(hex("fff7db")) ]),
+])
+let groupB = style(. [ selector(. ".antInputNumberInput", [ backgroundColor(hex("eaf4ff")) ]),
+ ])
+}
+
+module DemoDist = {
+ @react.component
+ let make = (~squiggleString: string, ~options) =>
+
+
+ {switch options {
+ | Some(options) =>
+ let inputs1 = ProgramEvaluator.Inputs.make(
+ ~samplingInputs={
+ sampleCount: Some(options.sampleCount),
+ outputXYPoints: Some(options.outputXYPoints),
+ kernelWidth: options.kernelWidth,
+ shapeLength: Some(options.downsampleTo |> E.O.default(1000)),
+ },
+ ~squiggleString,
+ ~environment=[
+ ("K", #SymbolicDist(#Float(1000.0))),
+ ("M", #SymbolicDist(#Float(1000000.0))),
+ ("B", #SymbolicDist(#Float(1000000000.0))),
+ ("T", #SymbolicDist(#Float(1000000000000.0))),
+ ]->Belt.Map.String.fromArray,
+ (),
+ )
+
+ let distributionList = ProgramEvaluator.evaluateProgram(inputs1)
+
+ let renderExpression = response1 =>
+ switch response1 {
+ | #DistPlus(distPlus1) =>
+ | #Float(f) =>
+ | #Function((f, a), env) =>
+ // Problem: When it gets the function, it doesn't save state about previous commands
+ let foo: ProgramEvaluator.Inputs.inputs = {
+ squiggleString: squiggleString,
+ samplingInputs: inputs1.samplingInputs,
+ environment: env,
+ }
+ let results =
+ E.A.Floats.range(options.diagramStart, options.diagramStop, options.diagramCount)
+ |> E.A.fmap(r =>
+ ProgramEvaluator.evaluateFunction(
+ foo,
+ (f, a),
+ [#SymbolicDist(#Float(r))],
+ ) |> E.R.bind(_, a =>
+ switch a {
+ | #DistPlus(d) => Ok((r, DistPlus.T.normalize(d)))
+ | n =>
+ Js.log2("Error here", n)
+ Error("wrong type")
+ }
+ )
+ )
+ |> E.A.R.firstErrorOrOpen
+ switch results {
+ | Ok(dists) =>
+ | Error(r) => r |> R.ste
+ }
+ }
+
+ // Render the list of distributions given by the
+ switch distributionList {
+ | Ok(xs) =>
+ let childrenElements = List.map(renderExpression, xs)
+ Js.Console.log(childrenElements)
+
+ {Belt.List.toArray(Belt.List.mapWithIndex(childrenElements, (i, child) => - child
))->React.array}
+
+ | Error(r) => r |> R.ste
+ }
+ | _ => "Nothing to show. Try to change the distribution description." |> R.ste
+ }}
+
+
+}
+
+@react.component
+let make = () => {
+ let (reloader, setReloader) = React.useState(() => 1)
+ let reform = Form.use(
+ ~validationStrategy=OnDemand,
+ ~schema=Form.Validation.Schema([]),
+ ~onSubmit=({state}) => None,
+ ~initialState={
+ //squiggleString: "mm(normal(-10, 2), uniform(18, 25), lognormal({mean: 10, stdev: 8}), triangular(31,40,50))",
+ squiggleString: "mm(normal(5,2), normal(10,2))",
+ sampleCount: "1000",
+ outputXYPoints: "1000",
+ downsampleTo: "",
+ kernelWidth: "",
+ diagramStart: "0",
+ diagramStop: "10",
+ diagramCount: "20",
+ },
+ (),
+ )
+
+ let onSubmit = e => {
+ e->ReactEvent.Synthetic.preventDefault
+ reform.submit()
+ }
+
+ let squiggleString = reform.state.values.squiggleString
+ let sampleCount = reform.state.values.sampleCount |> Js.Float.fromString
+ let outputXYPoints = reform.state.values.outputXYPoints |> Js.Float.fromString
+ let downsampleTo = reform.state.values.downsampleTo |> Js.Float.fromString
+ let kernelWidth = reform.state.values.kernelWidth |> Js.Float.fromString
+ let diagramStart = reform.state.values.diagramStart |> Js.Float.fromString
+ let diagramStop = reform.state.values.diagramStop |> Js.Float.fromString
+ let diagramCount = reform.state.values.diagramCount |> Js.Float.fromString
+
+ let options = switch (sampleCount, outputXYPoints, downsampleTo) {
+ | (_, _, _)
+ if !Js.Float.isNaN(sampleCount) &&
+ (!Js.Float.isNaN(outputXYPoints) &&
+ (!Js.Float.isNaN(downsampleTo) && (sampleCount > 10. && outputXYPoints > 10.))) =>
+ Some({
+ sampleCount: sampleCount |> int_of_float,
+ outputXYPoints: outputXYPoints |> int_of_float,
+ downsampleTo: int_of_float(downsampleTo) > 0 ? Some(int_of_float(downsampleTo)) : None,
+ kernelWidth: kernelWidth == 0.0 ? None : Some(kernelWidth),
+ diagramStart: diagramStart,
+ diagramStop: diagramStop,
+ diagramCount: diagramCount |> int_of_float,
+ })
+ | _ => None
+ }
+
+ let demoDist = React.useMemo1(
+ () => ,
+ [
+ reform.state.values.squiggleString,
+ reform.state.values.sampleCount,
+ reform.state.values.outputXYPoints,
+ reform.state.values.downsampleTo,
+ reform.state.values.kernelWidth,
+ reform.state.values.diagramStart,
+ reform.state.values.diagramStop,
+ reform.state.values.diagramCount,
+ reloader |> string_of_int,
+ ],
+ )
+
+ let onReload = _ => setReloader(_ => reloader + 1)
+
+
+
+
R.ste}
+ extra={}>
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
demoDist
+
+}
diff --git a/packages/squiggle-old/src/components/charts/DistPlusPlot.res b/packages/squiggle-old/src/components/charts/DistPlusPlot.res
new file mode 100644
index 00000000..4ef363de
--- /dev/null
+++ b/packages/squiggle-old/src/components/charts/DistPlusPlot.res
@@ -0,0 +1,306 @@
+open DistPlusPlotReducer
+let plotBlue = #hex("1860ad")
+
+let showAsForm = (distPlus: DistTypes.distPlus) =>
+
+
+let showFloat = (~precision=3, number) =>
+
+let table = (distPlus, x) =>
+
+
+
+
+ {"X Point" |> React.string} |
+ {"Discrete Value" |> React.string} |
+ {"Continuous Value" |> React.string} |
+ {"Y Integral to Point" |> React.string} |
+ {"Y Integral Total" |> React.string} |
+
+
+
+
+ {x |> E.Float.toString |> React.string} |
+
+ {distPlus
+ |> DistPlus.T.xToY(x)
+ |> DistTypes.MixedPoint.toDiscreteValue
+ |> Js.Float.toPrecisionWithPrecision(_, ~digits=7)
+ |> React.string}
+ |
+
+ {distPlus
+ |> DistPlus.T.xToY(x)
+ |> DistTypes.MixedPoint.toContinuousValue
+ |> Js.Float.toPrecisionWithPrecision(_, ~digits=7)
+ |> React.string}
+ |
+
+ {distPlus
+ |> DistPlus.T.Integral.xToY(x)
+ |> E.Float.with2DigitsPrecision
+ |> React.string}
+ |
+
+ {distPlus
+ |> DistPlus.T.Integral.sum
+ |> E.Float.with2DigitsPrecision
+ |> React.string}
+ |
+
+
+
+
+
+
+ {"Continuous Total" |> React.string} |
+ {"Discrete Total" |> React.string} |
+
+
+
+
+
+ {distPlus
+ |> DistPlus.T.toContinuous
+ |> E.O.fmap(Continuous.T.Integral.sum)
+ |> E.O.fmap(E.Float.with2DigitsPrecision)
+ |> E.O.default("")
+ |> React.string}
+ |
+
+ {distPlus
+ |> DistPlus.T.toDiscrete
+ |> E.O.fmap(Discrete.T.Integral.sum)
+ |> E.O.fmap(E.Float.with2DigitsPrecision)
+ |> E.O.default("")
+ |> React.string}
+ |
+
+
+
+
+let percentiles = distPlus =>
+
+
+
+
+ {"1" |> React.string} |
+ {"5" |> React.string} |
+ {"25" |> React.string} |
+ {"50" |> React.string} |
+ {"75" |> React.string} |
+ {"95" |> React.string} |
+ {"99" |> React.string} |
+ {"99.999" |> React.string} |
+
+
+
+
+
+ {distPlus |> DistPlus.T.Integral.yToX(0.01) |> showFloat}
+ |
+
+ {distPlus |> DistPlus.T.Integral.yToX(0.05) |> showFloat}
+ |
+
+ {distPlus |> DistPlus.T.Integral.yToX(0.25) |> showFloat}
+ |
+
+ {distPlus |> DistPlus.T.Integral.yToX(0.5) |> showFloat}
+ |
+
+ {distPlus |> DistPlus.T.Integral.yToX(0.75) |> showFloat}
+ |
+
+ {distPlus |> DistPlus.T.Integral.yToX(0.95) |> showFloat}
+ |
+
+ {distPlus |> DistPlus.T.Integral.yToX(0.99) |> showFloat}
+ |
+
+ {distPlus |> DistPlus.T.Integral.yToX(0.99999) |> showFloat}
+ |
+
+
+
+
+
+
+ {"mean" |> React.string} |
+ {"standard deviation" |> React.string} |
+ {"variance" |> React.string} |
+
+
+
+
+ {distPlus |> DistPlus.T.mean |> showFloat} |
+
+ {distPlus |> DistPlus.T.variance |> (r => r ** 0.5) |> showFloat}
+ |
+ {distPlus |> DistPlus.T.variance |> showFloat} |
+
+
+
+
+
+let adjustBoth = discreteProbabilityMassFraction => {
+ let yMaxDiscreteDomainFactor = discreteProbabilityMassFraction
+ let yMaxContinuousDomainFactor = 1.0 -. discreteProbabilityMassFraction
+
+ // use the bigger proportion, such that whichever is the bigger proportion, the yMax is 1.
+
+ let yMax = yMaxDiscreteDomainFactor > 0.5 ? yMaxDiscreteDomainFactor : yMaxContinuousDomainFactor
+ (yMax /. yMaxDiscreteDomainFactor, yMax /. yMaxContinuousDomainFactor)
+}
+
+module DistPlusChart = {
+ @react.component
+ let make = (~distPlus: DistTypes.distPlus, ~config: chartConfig, ~onHover) => {
+ open DistPlus
+
+ let discrete = distPlus |> T.toDiscrete |> E.O.fmap(Discrete.getShape)
+ let continuous = distPlus |> T.toContinuous |> E.O.fmap(Continuous.getShape)
+
+ // // We subtract a bit from the range to make sure that it fits. Maybe this should be done in d3 instead.
+ // let minX =
+ // switch (
+ // distPlus
+ // |> DistPlus.T.Integral.yToX(0.0001),
+ // range,
+ // ) {
+ // | (min, Some(range)) => Some(min -. range *. 0.001)
+ // | _ => None
+ // };
+
+ let minX = distPlus |> DistPlus.T.Integral.yToX(0.00001)
+
+ let maxX = distPlus |> DistPlus.T.Integral.yToX(0.99999)
+
+ let timeScale = distPlus.unit |> DistTypes.DistributionUnit.toJson
+ let discreteProbabilityMassFraction = distPlus |> DistPlus.T.toDiscreteProbabilityMassFraction
+
+ let (yMaxDiscreteDomainFactor, yMaxContinuousDomainFactor) = adjustBoth(
+ discreteProbabilityMassFraction,
+ )
+
+
+ }
+}
+
+module IntegralChart = {
+ @react.component
+ let make = (~distPlus: DistTypes.distPlus, ~config: chartConfig, ~onHover) => {
+ let integral = distPlus.integralCache
+ let continuous = integral |> Continuous.toLinear |> E.O.fmap(Continuous.getShape)
+ let minX = distPlus |> DistPlus.T.Integral.yToX(0.00001)
+
+ let maxX = distPlus |> DistPlus.T.Integral.yToX(0.99999)
+ let timeScale = distPlus.unit |> DistTypes.DistributionUnit.toJson
+
+ }
+}
+
+module Chart = {
+ @react.component
+ let make = (~distPlus: DistTypes.distPlus, ~config: chartConfig, ~onHover) => {
+ let chart = React.useMemo2(
+ () =>
+ config.isCumulative
+ ?
+ : ,
+ (distPlus, config),
+ )
+
+ chart
+
+ }
+}
+
+let button = "bg-gray-300 hover:bg-gray-500 text-grey-darkest text-xs px-4 py-1"
+
+@react.component
+let make = (~distPlus: DistTypes.distPlus) => {
+ let (x, setX) = React.useState(() => 0.)
+ let (state, dispatch) = React.useReducer(DistPlusPlotReducer.reducer, DistPlusPlotReducer.init)
+
+
+ {state.distributions
+ |> E.L.fmapi((index, config) =>
+
+
setX(_ => r)} />
+
+
+
+
+
+
+
+ {index != 0
+ ?
+ : React.null}
+
+
+
+ )
+ |> E.L.toArray
+ |> React.array}
+
+
+
+
+
+
+ {state.showParams ? showAsForm(distPlus) : React.null}
+ {state.showStats ? table(distPlus, x) : React.null}
+ {state.showPercentiles ? percentiles(distPlus) : React.null}
+
+}
diff --git a/packages/squiggle-old/src/components/charts/DistPlusPlotReducer.re b/packages/squiggle-old/src/components/charts/DistPlusPlotReducer.re
new file mode 100644
index 00000000..0ca31c65
--- /dev/null
+++ b/packages/squiggle-old/src/components/charts/DistPlusPlotReducer.re
@@ -0,0 +1,112 @@
+type chartConfig = {
+ xLog: bool,
+ yLog: bool,
+ isCumulative: bool,
+ height: int,
+};
+
+type state = {
+ showStats: bool,
+ showPercentiles: bool,
+ showParams: bool,
+ distributions: list(chartConfig),
+};
+
+type action =
+ | CHANGE_SHOW_STATS
+ | CHANGE_SHOW_PARAMS
+ | CHANGE_SHOW_PERCENTILES
+ | REMOVE_DIST(int)
+ | ADD_DIST
+ | CHANGE_X_LOG(int)
+ | CHANGE_Y_LOG(int)
+ | CHANGE_IS_CUMULATIVE(int, bool)
+ | HEIGHT_INCREMENT(int)
+ | HEIGHT_DECREMENT(int);
+
+let changeHeight = (currentHeight, foo: [ | `increment | `decrement]) =>
+ switch (currentHeight, foo) {
+ | (1, `decrement) => 1
+ | (2, `decrement) => 1
+ | (3, `decrement) => 2
+ | (4, `decrement) => 3
+ | (5, `decrement) => 4
+ | (1, `increment) => 2
+ | (2, `increment) => 3
+ | (3, `increment) => 4
+ | (4, `increment) => 5
+ | (5, `increment) => 5
+ | _ => 1
+ };
+
+let heightToPix =
+ fun
+ | 1 => 80
+ | 2 => 140
+ | 3 => 240
+ | 4 => 340
+ | 5 => 440
+ | _ => 140;
+
+let distributionReducer = (index, state: list(chartConfig), action) => {
+ switch (action, E.L.get(state, index)) {
+ | (HEIGHT_INCREMENT(_), Some(dist)) =>
+ E.L.update(
+ {...dist, height: changeHeight(dist.height, `increment)},
+ index,
+ state,
+ )
+ | (HEIGHT_DECREMENT(_), Some(dist)) =>
+ E.L.update(
+ {...dist, height: changeHeight(dist.height, `decrement)},
+ index,
+ state,
+ )
+ | (CHANGE_IS_CUMULATIVE(_, isCumulative), Some(dist)) =>
+ E.L.update({...dist, isCumulative}, index, state)
+ | (CHANGE_X_LOG(_), Some(dist)) =>
+ E.L.update({...dist, xLog: !dist.xLog}, index, state)
+ | (CHANGE_Y_LOG(_), Some(dist)) =>
+ E.L.update({...dist, yLog: !dist.yLog}, index, state)
+ | (REMOVE_DIST(_), Some(_)) => E.L.remove(index, 1, state)
+ | (ADD_DIST, Some(_)) =>
+ E.L.append(
+ state,
+ [{yLog: false, xLog: false, isCumulative: false, height: 4}],
+ )
+ | _ => state
+ };
+};
+
+let reducer = (state: state, action: action) =>
+ switch (action) {
+ | CHANGE_X_LOG(i)
+ | CHANGE_Y_LOG(i)
+ | CHANGE_IS_CUMULATIVE(i, _)
+ | HEIGHT_DECREMENT(i)
+ | REMOVE_DIST(i)
+ | HEIGHT_INCREMENT(i) => {
+ ...state,
+ distributions: distributionReducer(i, state.distributions, action),
+ }
+ | ADD_DIST => {
+ ...state,
+ distributions: distributionReducer(0, state.distributions, action),
+ }
+ | CHANGE_SHOW_STATS => {...state, showStats: !state.showStats}
+ | CHANGE_SHOW_PARAMS => {...state, showParams: !state.showParams}
+ | CHANGE_SHOW_PERCENTILES => {
+ ...state,
+ showPercentiles: !state.showPercentiles,
+ }
+ };
+
+let init = {
+ showStats: false,
+ showParams: false,
+ showPercentiles: false,
+ distributions: [
+ {yLog: false, xLog: false, isCumulative: false, height: 4},
+ {yLog: false, xLog: false, isCumulative: true, height: 1},
+ ],
+};
\ No newline at end of file
diff --git a/packages/squiggle-old/src/components/charts/DistributionPlot/DistributionPlot.res b/packages/squiggle-old/src/components/charts/DistributionPlot/DistributionPlot.res
new file mode 100644
index 00000000..e151379f
--- /dev/null
+++ b/packages/squiggle-old/src/components/charts/DistributionPlot/DistributionPlot.res
@@ -0,0 +1,108 @@
+module RawPlot = {
+ type primaryDistribution = option<{"xs": array, "ys": array}>
+
+ type discrete = option<{"xs": array, "ys": array}>
+
+ type props
+ type makeType = props => React.element
+ @obj external makeProps: (
+ ~height: int=?,
+ ~marginBottom: int=?,
+ ~marginTop: int=?,
+ ~maxX: float=?,
+ ~minX: float=?,
+ ~yMaxContinuousDomainFactor: float=?,
+ ~yMaxDiscreteDomainFactor: float=?,
+ ~onHover: float => (),
+ ~continuous: option<{"xs": array, "ys": array}>=?,
+ ~discrete: option<{"xs": array, "ys": array}>=?,
+ ~xScale: string=?,
+ ~yScale: string=?,
+ ~showDistributionLines: bool=?,
+ ~showDistributionYAxis: bool=?,
+ ~showVerticalLine: bool=?,
+ ~timeScale:Js.Null.t<{"unit": string, "zero": MomentRe.Moment.t}>=?,
+ ~verticalLine: int=?,
+ ~children: array=?,
+ unit // This unit is a quirk of the type system. Apparently it must exist to have optional arguments in a type
+ ) => props = ""
+
+
+ @module("./distPlotReact.js")
+ external make : makeType = "default"
+}
+
+module Styles = {
+ open CssJs
+ let textOverlay = style(. [position(#absolute)])
+ let mainText = style(. [ fontSize(#em(1.1))])
+ let secondaryText = style(. [fontSize(#em(0.9))])
+
+ let graph = chartColor =>
+ style(. [
+ position(#relative),
+ selector(. ".xAxis", [fontSize(#px(9))]),
+ selector(. ".xAxis .domain", [ display(#none) ]),
+ selector(. ".xAxis .tick line", [ display(#none) ]),
+ selector(. ".xAxis .tick text", [ color(#hex("7a8998")) ]),
+ selector(. ".chart .areaPath", [ SVG.fill(chartColor) ]),
+ selector(. ".lollipopsLine", [ SVG.stroke(#hex("bfcad4")) ]),
+ selector(. ".lollipopsCircle", [ SVG.stroke(#hex("bfcad4")), SVG.fill(#hex("bfcad4")) ]),
+ selector(. ".lollipopsXAxis .domain", [ display(#none) ]),
+ selector(. ".lollipopsXAxis .tick line", [ display(#none) ]),
+ selector(. ".lollipopsXAxis .tick text", [ display(#none) ]),
+ selector(.
+ ".lollipopsTooltip",
+ [ position(#absolute),
+ textAlign(#center),
+ padding(px(2)),
+ backgroundColor(hex("bfcad4")),
+ borderRadius(px(3)),
+ ],
+ ),
+ selector(.
+ ".lollipopsCircleMouseover",
+ [ SVG.fill(hex("ffa500")), SVG.stroke(#hex("fff")) ],
+ ),
+ selector(. ".lollipopsLineMouseover", [ SVG.stroke(#hex("ffa500")) ]),
+ ])
+}
+
+@react.component
+let make = (
+ ~color=#hex("111"),
+ ~discrete=?,
+ ~height=200,
+ ~maxX=?,
+ ~minX=?,
+ ~yMaxDiscreteDomainFactor=?,
+ ~yMaxContinuousDomainFactor=?,
+ ~onHover: float => unit=_ => (),
+ ~continuous=?,
+ ~xScale=?,
+ ~yScale=?,
+ ~showDistributionLines=false,
+ ~showDistributionYAxis=false,
+ ~showVerticalLine=false,
+ ~timeScale=?,
+) =>
+
+ E.O.fmap(XYShape.T.toJs)}
+ height
+ marginBottom=50
+ marginTop=0
+ onHover
+ continuous={continuous |> E.O.fmap(XYShape.T.toJs)}
+ showDistributionLines
+ showDistributionYAxis
+ showVerticalLine
+ />
+
diff --git a/packages/squiggle-old/src/components/charts/DistributionPlot/PercentilesChart.js b/packages/squiggle-old/src/components/charts/DistributionPlot/PercentilesChart.js
new file mode 100644
index 00000000..38661c8b
--- /dev/null
+++ b/packages/squiggle-old/src/components/charts/DistributionPlot/PercentilesChart.js
@@ -0,0 +1,10 @@
+import * as _ from "lodash";
+import { createClassFromSpec } from "react-vega";
+import spec from "./spec-percentiles";
+
+const PercentilesChart = createClassFromSpec({
+ spec,
+ style: "width: 100%",
+});
+
+export { PercentilesChart };
diff --git a/packages/squiggle-old/src/components/charts/DistributionPlot/PercentilesChart.res b/packages/squiggle-old/src/components/charts/DistributionPlot/PercentilesChart.res
new file mode 100644
index 00000000..a2a0159a
--- /dev/null
+++ b/packages/squiggle-old/src/components/charts/DistributionPlot/PercentilesChart.res
@@ -0,0 +1,54 @@
+@module("./PercentilesChart.js")
+external percentilesChart: React.element = "PercentilesChart"
+
+module Internal = {
+ type props
+ type makeType = props => React.element
+ type dataType = { "facet": array<
+ {
+ "p1": float,
+ "p10": float,
+ "p20": float,
+ "p30": float,
+ "p40": float,
+ "p5": float,
+ "p50": float,
+ "p60": float,
+ "p70": float,
+ "p80": float,
+ "p90": float,
+ "p95": float,
+ "p99": float,
+ "x": float,
+ }>}
+ @obj external makeProps: (~data: dataType, ~signalListeners: list,~children:React.element, unit) => props = ""
+
+ @module("./PercentilesChart.js")
+ external make : makeType = "PercentilesChart"
+}
+
+@react.component
+@module("./PercentilesChart.js")
+let make = (~dists: array<(float, DistTypes.distPlus)>, ~children=React.null) => {
+ let data = dists |> E.A.fmap(((x, r)) =>
+ {
+ "x": x,
+ "p1": r |> DistPlus.T.Integral.yToX(0.01),
+ "p5": r |> DistPlus.T.Integral.yToX(0.05),
+ "p10": r |> DistPlus.T.Integral.yToX(0.1),
+ "p20": r |> DistPlus.T.Integral.yToX(0.2),
+ "p30": r |> DistPlus.T.Integral.yToX(0.3),
+ "p40": r |> DistPlus.T.Integral.yToX(0.4),
+ "p50": r |> DistPlus.T.Integral.yToX(0.5),
+ "p60": r |> DistPlus.T.Integral.yToX(0.6),
+ "p70": r |> DistPlus.T.Integral.yToX(0.7),
+ "p80": r |> DistPlus.T.Integral.yToX(0.8),
+ "p90": r |> DistPlus.T.Integral.yToX(0.9),
+ "p95": r |> DistPlus.T.Integral.yToX(0.95),
+ "p99": r |> DistPlus.T.Integral.yToX(0.99),
+ }
+ )
+ Js.log3("Data", dists, data)
+ let da = {"facet": data}
+ children
+}
diff --git a/packages/squiggle-old/src/components/charts/DistributionPlot/distPlotD3.js b/packages/squiggle-old/src/components/charts/DistributionPlot/distPlotD3.js
new file mode 100644
index 00000000..6c58419b
--- /dev/null
+++ b/packages/squiggle-old/src/components/charts/DistributionPlot/distPlotD3.js
@@ -0,0 +1,658 @@
+const _ = require('lodash');
+const d3 = require('d3');
+const moment = require('moment');
+require('./styles.css');
+
+/**
+ * @param arr
+ * @returns {*}
+ */
+function exists(arr) {
+ return arr.find(num => _.isFinite(num));
+}
+
+export class DistPlotD3 {
+
+ constructor() {
+ this.attrs = {
+ svgWidth: 400,
+ svgHeight: 400,
+ marginTop: 5,
+ marginBottom: 5,
+ marginRight: 50,
+ marginLeft: 5,
+
+ container: null,
+
+ // X
+ minX: null,
+ maxX: null,
+ xScaleType: 'linear',
+ xScaleTimeOptions: null,
+ xScaleLogBase: 10,
+
+ // Y
+ minY: null,
+ maxY: null,
+ yScaleType: 'linear',
+ yScaleTimeOptions: null,
+ yScaleLogBase: 10,
+
+ xMinContinuousDomainFactor: 1,
+ xMaxContinuousDomainFactor: 1,
+ yMaxContinuousDomainFactor: 1,
+ yMaxDiscreteDomainFactor: 1,
+
+ showDistributionYAxis: false,
+ showDistributionLines: true,
+
+ areaColors: ['#E1E5EC', '#E1E5EC'],
+ verticalLine: 110,
+ showVerticalLine: true,
+ data: {
+ continuous: null,
+ discrete: null,
+ },
+ onHover: (e) => {
+ },
+ };
+
+ this.calc = {
+ chartLeftMargin: null,
+ chartTopMargin: null,
+ chartWidth: null,
+ chartHeight: null,
+ };
+
+ this.chart = null;
+ this.svg = null;
+ this._container = null;
+
+ this.formatDates = this.formatDates.bind(this);
+ }
+
+ /**
+ * @param {string} name
+ * @param value
+ * @returns {DistPlotD3}
+ */
+ set(name, value) {
+ _.set(this.attrs, [name], value);
+ return this;
+ }
+
+ /**
+ * @param data
+ * @returns {DistPlotD3}
+ */
+ data(data) {
+ const continuousXs = _.get(data, 'continuous.xs', []);
+ const continuousYs = _.get(data, 'continuous.ys', []);
+ const discreteXs = _.get(data, 'discrete.xs', []);
+ const discreteYs = _.get(data, 'discrete.ys', []);
+ this.attrs.data = data;
+ this.attrs.data.continuous = {
+ xs: continuousXs,
+ ys: continuousYs,
+ };
+ this.attrs.data.discrete = {
+ xs: discreteXs,
+ ys: discreteYs,
+ };
+ return this;
+ }
+
+ render() {
+ this._container = d3.select(this.attrs.container);
+ if (this._container.node() === null) {
+ throw new Error('Container for D3 is not defined.');
+ }
+
+ if (!['log', 'linear'].includes(this.attrs.xScaleType)) {
+ throw new Error('X-scale type should be either "log" or "linear".');
+ }
+ if (!['log', 'linear'].includes(this.attrs.yScaleType)) {
+ throw new Error('Y-scale type should be either "log" or "linear".');
+ }
+
+ // Log Scale.
+ if (this.attrs.xScaleType === 'log') {
+ this.logFilter('continuous', (x, y) => x > 0);
+ this.logFilter('discrete', (x, y) => x > 0);
+ }
+ if (this.attrs.yScaleType === 'log') {
+ this.logFilter('continuous', (x, y) => y > 0);
+ this.logFilter('discrete', (x, y) => y > 0);
+ }
+ if (
+ this.attrs.xScaleType === 'log'
+ && this.attrs.minX !== null
+ && this.attrs.minX < 0
+ ) {
+ console.warn('minX should be positive.');
+ this.attrs.minX = undefined;
+ }
+ if (
+ this.attrs.yScaleType === 'log'
+ && this.attrs.minY !== null
+ && this.attrs.minY < 0
+ ) {
+ console.warn('minY should be positive.');
+ this.attrs.minY = undefined;
+ }
+
+ // Fields.
+ const fields = [
+ 'marginLeft', 'marginRight',
+ 'marginTop', 'marginBottom',
+ 'svgWidth', 'svgHeight',
+ 'yMaxContinuousDomainFactor',
+ 'yMaxDiscreteDomainFactor',
+ 'xScaleLogBase', 'yScaleLogBase',
+ ];
+ for (const field of fields) {
+ if (!_.isNumber(this.attrs[field])) {
+ throw new Error(`${field} should be a number.`);
+ }
+ }
+
+ // Sets the width from the DOM element.
+ const containerRect = this._container.node().getBoundingClientRect();
+ if (containerRect.width > 0) {
+ this.attrs.svgWidth = containerRect.width;
+ }
+
+ // Calculated properties.
+ this.calc.chartLeftMargin = this.attrs.marginLeft;
+ this.calc.chartTopMargin = this.attrs.marginTop;
+ this.calc.chartWidth = this.attrs.svgWidth
+ - this.attrs.marginRight
+ - this.attrs.marginLeft;
+ this.calc.chartHeight = this.attrs.svgHeight
+ - this.attrs.marginBottom
+ - this.attrs.marginTop;
+
+ // Add svg.
+ this.svg = this._container
+ .createObject({ tag: 'svg', selector: 'svg-chart-container' })
+ .attr('width', '100%')
+ .attr('height', this.attrs.svgHeight)
+ .attr('pointer-events', 'none');
+
+ // Add container 'g' (empty) element.
+ this.chart = this.svg
+ .createObject({ tag: 'g', selector: 'chart' })
+ .attr(
+ 'transform',
+ `translate(${this.calc.chartLeftMargin}, ${this.calc.chartTopMargin})`,
+ );
+
+ try {
+ const common = this.getCommonThings();
+ if (this.hasDate('continuous')) {
+ this.addDistributionChart(common);
+ }
+ if (this.hasDate('discrete')) {
+ this.addLollipopsChart(common);
+ }
+ } catch (e) {
+ this._container.selectAll("*").remove();
+ throw e;
+ }
+ return this;
+ }
+
+ /**
+ * @returns {*}
+ */
+ getCommonThings() {
+ // Boundaries.
+ const xMin = exists([
+ this.attrs.minX,
+ d3.min(this.attrs.data.continuous.xs),
+ d3.min(this.attrs.data.discrete.xs),
+ ]);
+ const xMax = exists([
+ this.attrs.maxX,
+ d3.max(this.attrs.data.continuous.xs),
+ d3.max(this.attrs.data.discrete.xs),
+ ]);
+
+ const yMin = exists([
+ this.attrs.minY,
+ d3.min(this.attrs.data.continuous.ys),
+ d3.min(this.attrs.data.discrete.ys),
+ ]);
+ const yMax = exists([
+ this.attrs.maxY,
+ d3.max(this.attrs.data.continuous.ys),
+ d3.max(this.attrs.data.discrete.ys),
+ ]);
+
+ // Errors.
+ if (!_.isFinite(xMin)) throw new Error('xMin is undefined');
+ if (!_.isFinite(xMax)) throw new Error('xMax is undefined');
+ if (!_.isFinite(yMin)) throw new Error('yMin is undefined');
+ if (!_.isFinite(yMax)) throw new Error('yMax is undefined');
+
+ // X-domains.
+ const xMinDomainFactor = _.get(this.attrs, 'xMinContinuousDomainFactor', 1);
+ const xMaxDomainFactor = _.get(this.attrs, 'xMaxContinuousDomainFactor', 1);
+ const yMinDomainFactor = _.get(this.attrs, 'yMinContinuousDomainFactor', 1);
+ const yMaxDomainFactor = _.get(this.attrs, 'yMaxContinuousDomainFactor', 1);
+
+ const xMinDomain = xMin * xMinDomainFactor;
+ const xMaxDomain = xMax * xMaxDomainFactor;
+ const yMinDomain = yMin * yMinDomainFactor;
+ const yMaxDomain = yMax * yMaxDomainFactor;
+
+ // X-scale.
+ const xScale = this.attrs.xScaleType === 'linear'
+ ? d3.scaleLinear()
+ .domain([xMinDomain, xMaxDomain])
+ .range([0, this.calc.chartWidth])
+ : d3.scaleLog()
+ .base(this.attrs.xScaleLogBase)
+ .domain([xMinDomain, xMaxDomain])
+ .range([0, this.calc.chartWidth]);
+
+ // Y-scale.
+ const yScale = this.attrs.yScaleType === 'linear'
+ ? d3.scaleLinear()
+ .domain([yMinDomain, yMaxDomain])
+ .range([this.calc.chartHeight, 0])
+ : d3.scaleLog()
+ .base(this.attrs.yScaleLogBase)
+ .domain([yMinDomain, yMaxDomain])
+ .range([this.calc.chartHeight, 0]);
+
+ return {
+ xMin, xMax,
+ xScale, yScale,
+ };
+ }
+
+ /**
+ * @param common
+ */
+ addDistributionChart(common) {
+ const areaColorRange = d3.scaleOrdinal().range(this.attrs.areaColors);
+ const dataPoints = [this.getDataPoints('continuous')];
+
+ const { xMin, xMax, xScale, yScale } = common;
+
+ // X-axis.
+ let xAxis = null;
+ if (!!this.attrs.xScaleTimeOptions) {
+ // Calculates the projection on X-axis.
+ const zero = _.get(this.attrs, 'xScaleTimeOptions.zero', moment());
+ const unit = _.get(this.attrs, 'xScaleTimeOptions.unit', 'years');
+ const diff = Math.abs(xMax - xMin);
+ const left = zero.clone().add(xMin, unit);
+ const right = left.clone().add(diff, unit);
+
+ // X-time-scale.
+ const xScaleTime = d3.scaleTime()
+ .domain([left.toDate(), right.toDate()])
+ .nice()
+ .range([0, this.calc.chartWidth]);
+
+ xAxis = d3.axisBottom()
+ .scale(xScaleTime)
+ .ticks(this.getTimeTicksByStr(unit))
+ .tickFormat(this.formatDates);
+ } else {
+ xAxis = d3.axisBottom(xScale)
+ .ticks(3)
+ .tickFormat(d => {
+ if (Math.abs(d) < 1) {
+ return d3.format('.2')(d);
+ } else if (xMin > 1000 && xMax < 3000) {
+ // Condition which identifies years; 2019, 2020, 2021.
+ return d3.format('.0')(d);
+ } else {
+ const prefix = d3.formatPrefix('.0', d);
+ return prefix(d).replace('G', 'B');
+ }
+ });
+ }
+
+ // Y-axis.
+ const yAxis = d3.axisRight(yScale);
+
+ // Add axis.
+ this.chart
+ .createObject({ tag: 'g', selector: 'x-axis' })
+ .attr('transform', `translate(0, ${this.calc.chartHeight})`)
+ .call(xAxis);
+
+ if (this.attrs.showDistributionYAxis) {
+ this.chart
+ .createObject({ tag: 'g', selector: 'y-axis' })
+ .call(yAxis);
+ }
+
+ // Draw area.
+ const area = d3.area()
+ .x(d => xScale(d.x))
+ .y1(d => yScale(d.y))
+ .y0(this.calc.chartHeight);
+
+ this.chart
+ .createObjectsWithData({
+ tag: 'path',
+ selector: 'area-path',
+ data: dataPoints,
+ })
+ .attr('d', area)
+ .attr('fill', (d, i) => areaColorRange(i))
+ .attr('opacity', (d, i) => i === 0 ? 0.7 : 0.5);
+
+ // Draw line.
+ if (this.attrs.showDistributionLines) {
+ const line = d3.line()
+ .x(d => xScale(d.x))
+ .y(d => yScale(d.y));
+
+ this.chart
+ .createObjectsWithData({
+ tag: 'path',
+ selector: 'line-path',
+ data: dataPoints,
+ })
+ .attr('d', line)
+ .attr('id', (d, i) => 'line-' + (i + 1))
+ .attr('opacity', (d, i) => i === 0 ? 0.7 : 1)
+ .attr('fill', 'none');
+ }
+
+ if (this.attrs.showVerticalLine) {
+ this.chart
+ .createObject({ tag: 'line', selector: 'v-line' })
+ .attr('x1', xScale(this.attrs.verticalLine))
+ .attr('x2', xScale(this.attrs.verticalLine))
+ .attr('y1', 0)
+ .attr('y2', this.calc.chartHeight)
+ .attr('stroke-width', 1.5)
+ .attr('stroke-dasharray', '6 6')
+ .attr('stroke', 'steelblue');
+ }
+
+ const hoverLine = this.chart
+ .createObject({ tag: 'line', selector: 'hover-line' })
+ .attr('x1', 0)
+ .attr('x2', 0)
+ .attr('y1', 0)
+ .attr('y2', this.calc.chartHeight)
+ .attr('opacity', 0)
+ .attr('stroke-width', 1.5)
+ .attr('stroke-dasharray', '6 6')
+ .attr('stroke', '#22313F');
+
+ // Add drawing rectangle.
+ {
+ const context = this;
+
+ function mouseover() {
+ const mouse = d3.mouse(this);
+ hoverLine
+ .attr('opacity', 1)
+ .attr('x1', mouse[0])
+ .attr('x2', mouse[0]);
+ const xValue = xScale.invert(mouse[0]);
+ context.attrs.onHover(xValue);
+ }
+
+ function mouseout() {
+ hoverLine.attr('opacity', 0);
+ }
+
+ this.chart
+ .createObject({ tag: 'rect', selector: 'mouse-rect' })
+ .attr('width', this.calc.chartWidth)
+ .attr('height', this.calc.chartHeight)
+ .attr('fill', 'transparent')
+ .attr('pointer-events', 'all')
+ .on('mouseover', mouseover)
+ .on('mousemove', mouseover)
+ .on('mouseout', mouseout);
+ }
+ }
+
+ /**
+ * @param {object} common
+ * @param {object} common.xScale
+ * @param {object} common.yScale
+ */
+ addLollipopsChart(common) {
+ const data = this.getDataPoints('discrete');
+
+ const yMin = 0.;
+ const yMax = d3.max(this.attrs.data.discrete.ys);
+
+ // X axis.
+ this.chart.append('g')
+ .attr('class', 'lollipops-x-axis')
+ .attr('transform', `translate(0, ${this.calc.chartHeight})`)
+ .call(d3.axisBottom(common.xScale));
+
+ // Y-domain.
+ const yMinDomainFactor = _.get(this.attrs, 'yMinDiscreteDomainFactor', 1);
+ const yMaxDomainFactor = _.get(this.attrs, 'yMaxDiscreteDomainFactor', 1);
+ const yMinDomain = yMin * yMinDomainFactor;
+ const yMaxDomain = yMax * yMaxDomainFactor;
+
+ // Y-scale.
+ const yScale = this.attrs.yScaleType === 'linear'
+ ? d3.scaleLinear()
+ .domain([yMinDomain, yMaxDomain])
+ .range([this.calc.chartHeight, 0])
+ : d3.scaleLog()
+ .base(this.attrs.yScaleLogBase)
+ .domain([yMinDomain, yMaxDomain])
+ .range([this.calc.chartHeight, 0]);
+
+ //
+ const yTicks = Math.floor(this.calc.chartHeight / 20);
+ const yAxis = d3.axisLeft(yScale).ticks(yTicks);
+
+ // Adds 'g' for an y-axis.
+ this.chart.append('g')
+ .attr('class', 'lollipops-y-axis')
+ .attr('transform', `translate(${this.calc.chartWidth}, 0)`)
+ .call(yAxis);
+
+ const thi$ = this;
+
+ function showTooltip(d) {
+ thi$.chart.select('.lollipops-line-' + d.id)
+ .classed('lollipops-line-mouseover', true);
+ thi$.chart.select('.lollipops-circle-' + d.id)
+ .classed('lollipops-circle-mouseover', true)
+ .attr('r', 6);
+ tooltip.transition()
+ .style('opacity', .9);
+ tooltip.html(`x: ${d.x}, y: ${(d.y * 100).toFixed(1)}%`)
+ .style('left', (common.xScale(d.x) + 60) + 'px')
+ .style('top', yScale(d.y) + 'px');
+ }
+
+ function hideTooltip(d) {
+ thi$.chart.select('.lollipops-line-' + d.id)
+ .classed('lollipops-line-mouseover', false);
+ thi$.chart.select('.lollipops-circle-' + d.id)
+ .classed('lollipops-circle-mouseover', false)
+ .attr('r', 4);
+ tooltip.transition()
+ .style('opacity', 0);
+ }
+
+ // Lines.
+ this.chart.selectAll('lollipops-line')
+ .data(data)
+ .enter()
+ .append('line')
+ .attr('class', 'lollipops-line')
+ .attr('class', d => 'lollipops-line lollipops-line-' + d.id)
+ .attr('x1', d => common.xScale(d.x))
+ .attr('x2', d => common.xScale(d.x))
+ .attr('y1', d => yScale(d.y))
+ .attr('y2', yScale(yMin));
+
+ // Define the div for the tooltip
+ const tooltip = this._container.append('div')
+ .attr('class', 'lollipop-tooltip')
+ .style('opacity', 0);
+
+ // Circles.
+ this.chart.selectAll('lollipops-circle')
+ .data(data)
+ .enter()
+ .append('circle')
+ .attr('class', d => 'lollipops-circle lollipops-circle-' + d.id)
+ .attr('cx', d => common.xScale(d.x))
+ .attr('cy', d => yScale(d.y))
+ .attr('r', '4');
+
+ // Rectangles.
+ this.chart.selectAll('lollipops-rectangle')
+ .data(data)
+ .enter()
+ .append('rect')
+ .attr('width', 30)
+ .attr('height', d => this.calc.chartHeight - yScale(d.y) + 10)
+ .attr('x', d => common.xScale(d.x) - 15)
+ .attr('y', d => yScale(d.y) - 10)
+ .attr('opacity', 0)
+ .attr('pointer-events', 'all')
+ .on('mouseover', showTooltip)
+ .on('mouseout', hideTooltip)
+ ;
+ }
+
+ /**
+ * @param ts
+ * @returns {string}
+ */
+ formatDates(ts) {
+ return moment(ts).format('MMMM Do YYYY');
+ }
+
+ /**
+ * @param {string} unit
+ * @returns {*}
+ */
+ getTimeTicksByStr(unit) {
+ switch (unit) {
+ case 'months':
+ return d3.timeMonth.every(4);
+ case 'quarters':
+ // It is temporary solution, but it works
+ // if the difference between edge dates is not
+ // much more than 10 units.
+ return d3.timeMonth.every(12);
+ case 'hours':
+ return d3.timeHour.every(10);
+ case 'days':
+ return d3.timeDay.every(7);
+ case 'seconds':
+ return d3.timeSecond.every(10);
+ case 'years':
+ return d3.timeYear.every(10);
+ case 'minutes':
+ return d3.timeMinute.every(10);
+ case 'weeks':
+ return d3.timeWeek.every(10);
+ case 'milliseconds':
+ return d3.timeMillisecond.every(10);
+ default:
+ return d3.timeYear.every(10);
+ }
+ }
+
+ /**
+ * @param {string} key
+ * @returns {{x: number[], y: number[]}}
+ */
+ getDataPoints(key) {
+ const dt = [];
+ const emptyShape = { xs: [], ys: [] };
+ const data = _.get(this.attrs.data, key, emptyShape);
+ const len = data.xs.length;
+
+ for (let i = 0; i < len; i++) {
+ const x = data.xs[i];
+ const y = data.ys[i];
+ const id = i;
+ dt.push({ x, y, id });
+ }
+
+ return dt;
+ }
+
+ /**
+ * @param {string} key
+ * @param {function} pred
+ * @returns {{x: number[], y: number[]}}
+ */
+ logFilter(key, pred) {
+ const xs = [];
+ const ys = [];
+ const emptyShape = { xs: [], ys: [] };
+ const data = _.get(this.attrs.data, key, emptyShape);
+
+ for (let i = 0, len = data.xs.length; i < len; i++) {
+ const x = data.xs[i];
+ const y = data.ys[i];
+ if (pred(x, y)) {
+ xs.push(x);
+ ys.push(y);
+ }
+ }
+
+ _.set(this.attrs.data, [key, 'xs'], xs);
+ _.set(this.attrs.data, [key, 'ys'], ys);
+ }
+
+ /**
+ * @param {string} key
+ * @returns {boolean}
+ */
+ hasDate(key) {
+ const xs = _.get(this.attrs, ['data', key, 'xs']);
+ return !!_.size(xs);
+ }
+}
+
+/**
+ * @docs: https://github.com/d3/d3-selection
+ * @param {object} params
+ * @param {string} params.selector
+ * @param {string} params.tag
+ * @returns {*}
+ */
+d3.selection.prototype.createObject = function createObject(params) {
+ const selector = params.selector;
+ const tag = params.tag;
+ return this.insert(tag).attr('class', selector);
+};
+
+/**
+ * @docs: https://github.com/d3/d3-selection
+ * @param {object} params
+ * @param {string} params.selector
+ * @param {string} params.tag
+ * @param {*[]} params.data
+ * @returns {*}
+ */
+d3.selection.prototype.createObjectsWithData = function createObjectsWithData(params) {
+ const selector = params.selector;
+ const tag = params.tag;
+ const data = params.data;
+
+ return this.selectAll('.' + selector)
+ .data(data)
+ .enter()
+ .insert(tag)
+ .attr('class', selector);
+};
diff --git a/packages/squiggle-old/src/components/charts/DistributionPlot/distPlotReact.js b/packages/squiggle-old/src/components/charts/DistributionPlot/distPlotReact.js
new file mode 100644
index 00000000..5e2ff81b
--- /dev/null
+++ b/packages/squiggle-old/src/components/charts/DistributionPlot/distPlotReact.js
@@ -0,0 +1,81 @@
+import React, { useEffect } from 'react';
+import { useSize } from 'react-use';
+import { DistPlotD3 } from './distPlotD3';
+
+/**
+ * @param min
+ * @param max
+ * @returns {number}
+ */
+function getRandomInt(min, max) {
+ min = Math.ceil(min);
+ max = Math.floor(max);
+ return Math.floor(Math.random() * (max - min + 1)) + min;
+}
+
+/**
+ * @param props
+ * @returns {*}
+ * @constructor
+ */
+function DistPlotReact(props) {
+ const containerRef = React.createRef();
+ const key = "cdf-chart-react-" + getRandomInt(0, 1000);
+ const style = !!props.width ? { width: props.width + "px" } : {};
+
+ const [sized, { width }] = useSize(() => {
+ return React.createElement("div", {
+ key: "resizable-div",
+ });
+ }, {
+ width: props.width,
+ });
+
+ useEffect(() => {
+ try {
+ new DistPlotD3()
+ .set('svgWidth', width)
+ .set('svgHeight', props.height)
+ .set('maxX', props.maxX)
+ .set('minX', props.minX)
+ .set('onHover', props.onHover)
+ .set('marginBottom', props.marginBottom || 15)
+ .set('marginLeft', 30)
+ .set('marginRight', 30)
+ .set('marginTop', 5)
+ .set('showDistributionLines', props.showDistributionLines)
+ .set('showDistributionYAxis', props.showDistributionYAxis)
+ .set('verticalLine', props.verticalLine || 110)
+ .set('showVerticalLine', props.showVerticalLine)
+ .set('container', containerRef.current)
+ .set('xScaleType', props.xScale || 'linear')
+ .set('yScaleType', props.yScale || 'linear')
+ .set('xScaleTimeOptions', props.timeScale)
+ .set('yMaxContinuousDomainFactor', props.yMaxContinuousDomainFactor || 1)
+ .set('yMaxDiscreteDomainFactor', props.yMaxDiscreteDomainFactor || 1)
+ .data({
+ continuous: props.continuous,
+ discrete: props.discrete,
+ })
+ .render();
+ } catch (e) {
+ console.error("distPlotD3 Error: ", e)
+ }
+ });
+
+ return React.createElement("div", {
+ style: {
+ paddingLeft: "10px",
+ paddingRight: "10px",
+ },
+ }, [
+ sized,
+ React.createElement("div", {
+ key,
+ style,
+ ref: containerRef,
+ }),
+ ]);
+}
+
+export default DistPlotReact;
diff --git a/packages/squiggle-old/src/components/charts/DistributionPlot/spec-percentiles.json b/packages/squiggle-old/src/components/charts/DistributionPlot/spec-percentiles.json
new file mode 100644
index 00000000..c3b0a21f
--- /dev/null
+++ b/packages/squiggle-old/src/components/charts/DistributionPlot/spec-percentiles.json
@@ -0,0 +1,208 @@
+{
+ "$schema": "https://vega.github.io/schema/vega/v5.json",
+ "width": 500,
+ "height": 400,
+ "padding": 5,
+ "data": [
+ {
+ "name": "facet",
+ "values": [],
+ "format": { "type": "json", "parse": { "timestamp": "date" } }
+ },
+ {
+ "name": "table",
+ "source": "facet",
+ "transform": [
+ {
+ "type": "aggregate",
+ "groupby": ["x"],
+ "ops": [
+ "mean",
+ "mean",
+ "mean",
+ "mean",
+ "mean",
+ "mean",
+ "mean",
+ "mean",
+ "mean",
+ "mean",
+ "mean",
+ "mean",
+ "mean"
+ ],
+ "fields": [
+ "p1",
+ "p5",
+ "p10",
+ "p20",
+ "p30",
+ "p40",
+ "p50",
+ "p60",
+ "p70",
+ "p80",
+ "p90",
+ "p95",
+ "p99"
+ ],
+ "as": [
+ "p1",
+ "p5",
+ "p10",
+ "p20",
+ "p30",
+ "p40",
+ "p50",
+ "p60",
+ "p70",
+ "p80",
+ "p90",
+ "p95",
+ "p99"
+ ]
+ }
+ ]
+ }
+ ],
+ "scales": [
+ {
+ "name": "xscale",
+ "type": "linear",
+ "nice": true,
+ "domain": { "data": "facet", "field": "x" },
+ "range": "width"
+ },
+ {
+ "name": "yscale",
+ "type": "linear",
+ "range": "height",
+ "nice": true,
+ "zero": true,
+ "domain": { "data": "facet", "field": "p99" }
+ }
+ ],
+ "axes": [
+ {
+ "orient": "bottom",
+ "scale": "xscale",
+ "grid": false,
+ "tickSize": 2,
+ "encode": {
+ "grid": { "enter": { "stroke": { "value": "#ccc" } } },
+ "ticks": { "enter": { "stroke": { "value": "#ccc" } } }
+ }
+ },
+ {
+ "orient": "left",
+ "scale": "yscale",
+ "grid": false,
+ "domain": false,
+ "tickSize": 2,
+ "encode": {
+ "grid": { "enter": { "stroke": { "value": "#ccc" } } },
+ "ticks": { "enter": { "stroke": { "value": "#ccc" } } }
+ }
+ }
+ ],
+ "marks": [
+ {
+ "type": "area",
+ "from": { "data": "table" },
+ "encode": {
+ "enter": { "fill": { "value": "#4C78A8" } },
+ "update": {
+ "interpolate": { "value": "monotone" },
+ "x": { "scale": "xscale", "field": "x" },
+ "y": { "scale": "yscale", "field": "p1" },
+ "y2": { "scale": "yscale", "field": "p99" },
+ "opacity": { "value": 0.05 }
+ }
+ }
+ },
+ {
+ "type": "area",
+ "from": { "data": "table" },
+ "encode": {
+ "enter": { "fill": { "value": "#4C78A8" } },
+ "update": {
+ "interpolate": { "value": "monotone" },
+ "x": { "scale": "xscale", "field": "x" },
+ "y": { "scale": "yscale", "field": "p5" },
+ "y2": { "scale": "yscale", "field": "p95" },
+ "opacity": { "value": 0.1 }
+ }
+ }
+ },
+ {
+ "type": "area",
+ "from": { "data": "table" },
+ "encode": {
+ "enter": { "fill": { "value": "#4C78A8" } },
+ "update": {
+ "interpolate": { "value": "monotone" },
+ "x": { "scale": "xscale", "field": "x" },
+ "y": { "scale": "yscale", "field": "p10" },
+ "y2": { "scale": "yscale", "field": "p90" },
+ "opacity": { "value": 0.15 }
+ }
+ }
+ },
+ {
+ "type": "area",
+ "from": { "data": "table" },
+ "encode": {
+ "enter": { "fill": { "value": "#4C78A8" } },
+ "update": {
+ "interpolate": { "value": "monotone" },
+ "x": { "scale": "xscale", "field": "x" },
+ "y": { "scale": "yscale", "field": "p20" },
+ "y2": { "scale": "yscale", "field": "p80" },
+ "opacity": { "value": 0.2 }
+ }
+ }
+ },
+ {
+ "type": "area",
+ "from": { "data": "table" },
+ "encode": {
+ "enter": { "fill": { "value": "#4C78A8" } },
+ "update": {
+ "interpolate": { "value": "monotone" },
+ "x": { "scale": "xscale", "field": "x" },
+ "y": { "scale": "yscale", "field": "p30" },
+ "y2": { "scale": "yscale", "field": "p70" },
+ "opacity": { "value": 0.2 }
+ }
+ }
+ },
+ {
+ "type": "area",
+ "from": { "data": "table" },
+ "encode": {
+ "enter": { "fill": { "value": "#4C78A8" } },
+ "update": {
+ "interpolate": { "value": "monotone" },
+ "x": { "scale": "xscale", "field": "x" },
+ "y": { "scale": "yscale", "field": "p40" },
+ "y2": { "scale": "yscale", "field": "p60" },
+ "opacity": { "value": 0.2 }
+ }
+ }
+ },
+ {
+ "type": "line",
+ "from": { "data": "table" },
+ "encode": {
+ "update": {
+ "interpolate": { "value": "monotone" },
+ "stroke": { "value": "#4C78A8" },
+ "strokeWidth": { "value": 2 },
+ "opacity": { "value": 0.8 },
+ "x": { "scale": "xscale", "field": "x" },
+ "y": { "scale": "yscale", "field": "p50" }
+ }
+ }
+ }
+ ]
+}
diff --git a/packages/squiggle-old/src/components/charts/DistributionPlot/styles.css b/packages/squiggle-old/src/components/charts/DistributionPlot/styles.css
new file mode 100644
index 00000000..e47299f7
--- /dev/null
+++ b/packages/squiggle-old/src/components/charts/DistributionPlot/styles.css
@@ -0,0 +1,10 @@
+.lollipops-line-mouseover {
+ stroke-dasharray: 4;
+ animation: dash 2s linear infinite;
+}
+
+@keyframes dash {
+ to {
+ stroke-dashoffset: 1000;
+ }
+}
diff --git a/packages/squiggle-old/src/components/charts/NumberShower.res b/packages/squiggle-old/src/components/charts/NumberShower.res
new file mode 100644
index 00000000..ea625005
--- /dev/null
+++ b/packages/squiggle-old/src/components/charts/NumberShower.res
@@ -0,0 +1,31 @@
+module JS = {
+ @deriving(abstract)
+ type numberPresentation = {
+ value: string,
+ power: option,
+ symbol: option,
+ }
+
+ @module("./numberShower.js")
+ external numberShow: (float, int) => numberPresentation = "numberShow"
+}
+
+let sup = {
+ open CssJs
+ style(. [ fontSize(#em(0.6)), verticalAlign(#super) ])
+}
+
+@react.component
+let make = (~number, ~precision) => {
+ let numberWithPresentation = JS.numberShow(number, precision)
+
+ {JS.valueGet(numberWithPresentation) |> React.string}
+ {JS.symbolGet(numberWithPresentation) |> E.O.React.fmapOrNull(React.string)}
+ {JS.powerGet(numberWithPresentation) |> E.O.React.fmapOrNull(e =>
+
+ {j`\\u00b710` |> React.string}
+ {e |> E.Float.toString |> React.string}
+
+ )}
+
+}
diff --git a/packages/squiggle-old/src/components/charts/numberShower.js b/packages/squiggle-old/src/components/charts/numberShower.js
new file mode 100644
index 00000000..9226ab3f
--- /dev/null
+++ b/packages/squiggle-old/src/components/charts/numberShower.js
@@ -0,0 +1,65 @@
+// 105 -> 3
+const orderOfMagnitudeNum = (n) => {
+ return Math.pow(10, n);
+};
+
+// 105 -> 3
+const orderOfMagnitude = (n) => {
+ return Math.floor(Math.log(n) / Math.LN10 + 0.000000001);
+};
+
+function withXSigFigs(number, sigFigs) {
+ const withPrecision = number.toPrecision(sigFigs);
+ const formatted = Number(withPrecision);
+ return `${formatted}`;
+}
+
+class NumberShower {
+ constructor(number, precision = 2) {
+ this.number = number;
+ this.precision = precision;
+ }
+
+ convert() {
+ const number = Math.abs(this.number);
+ const response = this.evaluate(number);
+ if (this.number < 0) {
+ response.value = '-' + response.value;
+ }
+ return response
+ }
+
+ metricSystem(number, order) {
+ const newNumber = number / orderOfMagnitudeNum(order);
+ const precision = this.precision;
+ return `${withXSigFigs(newNumber, precision)}`;
+ }
+
+ evaluate(number) {
+ if (number === 0) {
+ return { value: this.metricSystem(0, 0) }
+ }
+
+ const order = orderOfMagnitude(number);
+ if (order < -2) {
+ return { value: this.metricSystem(number, order), power: order };
+ } else if (order < 4) {
+ return { value: this.metricSystem(number, 0) };
+ } else if (order < 6) {
+ return { value: this.metricSystem(number, 3), symbol: 'K' };
+ } else if (order < 9) {
+ return { value: this.metricSystem(number, 6), symbol: 'M' };
+ } else if (order < 12) {
+ return { value: this.metricSystem(number, 9), symbol: 'B' };
+ } else if (order < 15) {
+ return { value: this.metricSystem(number, 12), symbol: 'T' };
+ } else {
+ return { value: this.metricSystem(number, order), power: order };
+ }
+ }
+}
+
+export function numberShow(number, precision = 2) {
+ const ns = new NumberShower(number, precision);
+ return ns.convert();
+}
diff --git a/packages/squiggle-old/src/distPlus/ProgramEvaluator.res b/packages/squiggle-old/src/distPlus/ProgramEvaluator.res
new file mode 100644
index 00000000..7ab92f4c
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/ProgramEvaluator.res
@@ -0,0 +1,171 @@
+// TODO: This setup is more confusing than it should be, there's more work to do in cleanup here.
+module Inputs = {
+ module SamplingInputs = {
+ type t = {
+ sampleCount: option,
+ outputXYPoints: option,
+ kernelWidth: option,
+ shapeLength: option,
+ }
+ }
+ let defaultRecommendedLength = 100
+ let defaultShouldDownsample = true
+
+ type inputs = {
+ squiggleString: string,
+ samplingInputs: SamplingInputs.t,
+ environment: ExpressionTypes.ExpressionTree.environment,
+ }
+
+ let empty: SamplingInputs.t = {
+ sampleCount: None,
+ outputXYPoints: None,
+ kernelWidth: None,
+ shapeLength: None,
+ }
+
+ let make = (
+ ~samplingInputs=empty,
+ ~squiggleString,
+ ~environment=ExpressionTypes.ExpressionTree.Environment.empty,
+ (),
+ ): inputs => {
+ samplingInputs: samplingInputs,
+ squiggleString: squiggleString,
+ environment: environment,
+ }
+}
+
+type \"export" = [
+ | #DistPlus(ProbExample.DistPlus.t)
+ | #Float(float)
+ | #Function(
+ (array, ProbExample.ExpressionTypes.ExpressionTree.node),
+ ProbExample.ExpressionTypes.ExpressionTree.environment,
+ )
+]
+
+module Internals = {
+ let addVariable = (
+ {samplingInputs, squiggleString, environment}: Inputs.inputs,
+ str,
+ node,
+ ): Inputs.inputs => {
+ samplingInputs: samplingInputs,
+ squiggleString: squiggleString,
+ environment: ExpressionTypes.ExpressionTree.Environment.update(environment, str, _ => Some(
+ node,
+ )),
+ }
+
+ type outputs = {
+ graph: ExpressionTypes.ExpressionTree.node,
+ shape: DistTypes.shape,
+ }
+ let makeOutputs = (graph, shape): outputs => {graph: graph, shape: shape}
+
+ let makeInputs = (inputs: Inputs.inputs): ExpressionTypes.ExpressionTree.samplingInputs => {
+ sampleCount: inputs.samplingInputs.sampleCount |> E.O.default(10000),
+ outputXYPoints: inputs.samplingInputs.outputXYPoints |> E.O.default(10000),
+ kernelWidth: inputs.samplingInputs.kernelWidth,
+ shapeLength: inputs.samplingInputs.shapeLength |> E.O.default(10000),
+ }
+
+ let runNode = (inputs, node) =>
+ ExpressionTree.toLeaf(makeInputs(inputs), inputs.environment, node)
+
+ let runProgram = (inputs: Inputs.inputs, p: ExpressionTypes.Program.program) => {
+ let ins = ref(inputs)
+ p
+ |> E.A.fmap(x =>
+ switch x {
+ | #Assignment(name, node) =>
+ ins := addVariable(ins.contents, name, node)
+ None
+ | #Expression(node) =>
+ Some(runNode(ins.contents, node) |> E.R.fmap(r => (ins.contents.environment, r)))
+ }
+ )
+ |> E.A.O.concatSomes
+ |> E.A.R.firstErrorOrOpen
+ }
+
+ let inputsToLeaf = (inputs: Inputs.inputs) =>
+ MathJsParser.fromString(inputs.squiggleString)
+ |> E.R.bind(_, g => runProgram(inputs, g))
+
+ let outputToDistPlus = (inputs: Inputs.inputs, shape: DistTypes.shape) =>
+ DistPlus.make(~shape, ~squiggleString=Some(inputs.squiggleString), ())
+}
+
+let renderIfNeeded = (inputs: Inputs.inputs, node: ExpressionTypes.ExpressionTree.node): result<
+ ExpressionTypes.ExpressionTree.node,
+ string,
+> =>
+ node |> (
+ x =>
+ switch x {
+ | #Normalize(_) as n
+ | #SymbolicDist(_) as n =>
+ #Render(n)
+ |> Internals.runNode(inputs)
+ |> (
+ x =>
+ switch x {
+ | Ok(#RenderedDist(_)) as r => r
+ | Error(r) => Error(r)
+ | _ => Error("Didn't render, but intended to")
+ }
+ )
+ | n => Ok(n)
+ }
+ )
+
+// TODO: Consider using ExpressionTypes.ExpressionTree.getFloat or similar in this function
+let coersionToExportedTypes = (
+ inputs,
+ env: ProbExample.ExpressionTypes.ExpressionTree.environment,
+ node: ExpressionTypes.ExpressionTree.node,
+): result<\"export", string> =>
+ node
+ |> renderIfNeeded(inputs)
+ |> E.R.bind(_, x =>
+ switch x {
+ | #RenderedDist(Discrete({xyShape: {xs: [x], ys: [1.0]}})) => Ok(#Float(x))
+ | #SymbolicDist(#Float(x)) => Ok(#Float(x))
+ | #RenderedDist(n) => Ok(#DistPlus(Internals.outputToDistPlus(inputs, n)))
+ | #Function(n) => Ok(#Function(n, env))
+ | n => Error("Didn't output a rendered distribution. Format:" ++ ExpressionTree.toString(n))
+ }
+ )
+
+let rec mapM = (f, xs) =>
+ switch xs {
+ | list{} => Ok(list{})
+ | list{x, ...rest} =>
+ switch f(x) {
+ | Error(err) => Error(err)
+ | Ok(val) =>
+ switch mapM(f, rest) {
+ | Error(err) => Error(err)
+ | Ok(restList) => Ok(list{val, ...restList})
+ }
+ }
+ }
+
+let evaluateProgram = (inputs: Inputs.inputs) =>
+ inputs |> Internals.inputsToLeaf |> E.R.bind(_, xs => mapM(((a, b)) => coersionToExportedTypes(inputs, a, b), (Array.to_list(xs))))
+
+let evaluateFunction = (
+ inputs: Inputs.inputs,
+ fn: (array, ExpressionTypes.ExpressionTree.node),
+ fnInputs,
+) => {
+ let output = ExpressionTree.runFunction(
+ Internals.makeInputs(inputs),
+ inputs.environment,
+ fnInputs,
+ fn,
+ )
+ output |> E.R.bind(_, coersionToExportedTypes(inputs, inputs.environment))
+}
diff --git a/packages/squiggle-old/src/distPlus/distribution/AlgebraicShapeCombination.re b/packages/squiggle-old/src/distPlus/distribution/AlgebraicShapeCombination.re
new file mode 100644
index 00000000..631fb3a5
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/distribution/AlgebraicShapeCombination.re
@@ -0,0 +1,298 @@
+type pointMassesWithMoments = {
+ n: int,
+ masses: array(float),
+ means: array(float),
+ variances: array(float),
+};
+
+/* This function takes a continuous distribution and efficiently approximates it as
+ point masses that have variances associated with them.
+ We estimate the means and variances from overlapping triangular distributions which we imagine are making up the
+ XYShape.
+ We can then use the algebra of random variables to "convolve" the point masses and their variances,
+ and finally reconstruct a new distribution from them, e.g. using a Fast Gauss Transform or Raykar et al. (2007). */
+let toDiscretePointMassesFromTriangulars =
+ (~inverse=false, s: XYShape.T.t): pointMassesWithMoments => {
+ // TODO: what if there is only one point in the distribution?
+ let n = s |> XYShape.T.length;
+ // first, double up the leftmost and rightmost points:
+ let {xs, ys}: XYShape.T.t = s;
+ Js.Array.unshift(xs[0], xs) |> ignore;
+ Js.Array.unshift(ys[0], ys) |> ignore;
+ Js.Array.push(xs[n - 1], xs) |> ignore;
+ Js.Array.push(ys[n - 1], ys) |> ignore;
+ let n = E.A.length(xs);
+ // squares and neighbourly products of the xs
+ let xsSq: array(float) = Belt.Array.makeUninitializedUnsafe(n);
+ let xsProdN1: array(float) = Belt.Array.makeUninitializedUnsafe(n - 1);
+ let xsProdN2: array(float) = Belt.Array.makeUninitializedUnsafe(n - 2);
+ for (i in 0 to n - 1) {
+ Belt.Array.set(xsSq, i, xs[i] *. xs[i]) |> ignore;
+ ();
+ };
+ for (i in 0 to n - 2) {
+ Belt.Array.set(xsProdN1, i, xs[i] *. xs[i + 1]) |> ignore;
+ ();
+ };
+ for (i in 0 to n - 3) {
+ Belt.Array.set(xsProdN2, i, xs[i] *. xs[i + 2]) |> ignore;
+ ();
+ };
+ // means and variances
+ let masses: array(float) = Belt.Array.makeUninitializedUnsafe(n - 2); // doesn't include the fake first and last points
+ let means: array(float) = Belt.Array.makeUninitializedUnsafe(n - 2);
+ let variances: array(float) = Belt.Array.makeUninitializedUnsafe(n - 2);
+
+ if (inverse) {
+ for (i in 1 to n - 2) {
+ Belt.Array.set(masses, i - 1, (xs[i + 1] -. xs[i - 1]) *. ys[i] /. 2.)
+ |> ignore;
+
+ // this only works when the whole triange is either on the left or on the right of zero
+ let a = xs[i - 1];
+ let c = xs[i];
+ let b = xs[i + 1];
+
+ // These are the moments of the reciprocal of a triangular distribution, as symbolically integrated by Mathematica.
+ // They're probably pretty close to invMean ~ 1/mean = 3/(a+b+c) and invVar. But I haven't worked out
+ // the worst case error, so for now let's use these monster equations
+ let inverseMean =
+ 2.
+ *. (a *. log(a /. c) /. (a -. c) +. b *. log(c /. b) /. (b -. c))
+ /. (a -. b);
+ let inverseVar =
+ 2.
+ *. (log(c /. a) /. (a -. c) +. b *. log(b /. c) /. (b -. c))
+ /. (a -. b)
+ -. inverseMean
+ ** 2.;
+
+ Belt.Array.set(means, i - 1, inverseMean) |> ignore;
+
+ Belt.Array.set(variances, i - 1, inverseVar) |> ignore;
+ ();
+ };
+
+ {n: n - 2, masses, means, variances};
+ } else {
+ for (i in 1 to n - 2) {
+ // area of triangle = width * height / 2
+ Belt.Array.set(masses, i - 1, (xs[i + 1] -. xs[i - 1]) *. ys[i] /. 2.)
+ |> ignore;
+
+ // means of triangle = (a + b + c) / 3
+ Belt.Array.set(means, i - 1, (xs[i - 1] +. xs[i] +. xs[i + 1]) /. 3.)
+ |> ignore;
+
+ // variance of triangle = (a^2 + b^2 + c^2 - ab - ac - bc) / 18
+ Belt.Array.set(
+ variances,
+ i - 1,
+ (
+ xsSq[i - 1]
+ +. xsSq[i]
+ +. xsSq[i + 1]
+ -. xsProdN1[i - 1]
+ -. xsProdN1[i]
+ -. xsProdN2[i - 1]
+ )
+ /. 18.,
+ )
+ |> ignore;
+ ();
+ };
+ {n: n - 2, masses, means, variances};
+ };
+};
+
+let combineShapesContinuousContinuous =
+ (
+ op: ExpressionTypes.algebraicOperation,
+ s1: DistTypes.xyShape,
+ s2: DistTypes.xyShape,
+ )
+ : DistTypes.xyShape => {
+ let t1n = s1 |> XYShape.T.length;
+ let t2n = s2 |> XYShape.T.length;
+
+ // if we add the two distributions, we should probably use normal filters.
+ // if we multiply the two distributions, we should probably use lognormal filters.
+ let t1m = toDiscretePointMassesFromTriangulars(s1);
+ let t2m =
+ switch (op) {
+ | `Divide => toDiscretePointMassesFromTriangulars(~inverse=true, s2)
+ | _ => toDiscretePointMassesFromTriangulars(~inverse=false, s2)
+ };
+
+ let combineMeansFn =
+ switch (op) {
+ | `Add => ((m1, m2) => m1 +. m2)
+ | `Subtract => ((m1, m2) => m1 -. m2)
+ | `Multiply => ((m1, m2) => m1 *. m2)
+ | `Divide => ((m1, mInv2) => m1 *. mInv2)
+ | `Exponentiate => ((m1, mInv2) => m1 ** mInv2)
+ }; // note: here, mInv2 = mean(1 / t2) ~= 1 / mean(t2)
+
+ // TODO: I don't know what the variances are for exponentatiation
+ // converts the variances and means of the two inputs into the variance of the output
+ let combineVariancesFn =
+ switch (op) {
+ | `Add => ((v1, v2, _, _) => v1 +. v2)
+ | `Subtract => ((v1, v2, _, _) => v1 +. v2)
+ | `Multiply => (
+ (v1, v2, m1, m2) => v1 *. v2 +. v1 *. m2 ** 2. +. v2 *. m1 ** 2.
+ )
+ | `Exponentiate =>
+ ((v1, v2, m1, m2) => v1 *. v2 +. v1 *. m2 ** 2. +. v2 *. m1 ** 2.);
+ | `Divide => (
+ (v1, vInv2, m1, mInv2) =>
+ v1 *. vInv2 +. v1 *. mInv2 ** 2. +. vInv2 *. m1 ** 2.
+ )
+ };
+
+ // TODO: If operating on two positive-domain distributions, we should take that into account
+ let outputMinX: ref(float) = ref(infinity);
+ let outputMaxX: ref(float) = ref(neg_infinity);
+ let masses: array(float) =
+ Belt.Array.makeUninitializedUnsafe(t1m.n * t2m.n);
+ let means: array(float) =
+ Belt.Array.makeUninitializedUnsafe(t1m.n * t2m.n);
+ let variances: array(float) =
+ Belt.Array.makeUninitializedUnsafe(t1m.n * t2m.n);
+ // then convolve the two sets of pointMassesWithMoments
+ for (i in 0 to t1m.n - 1) {
+ for (j in 0 to t2m.n - 1) {
+ let k = i * t2m.n + j;
+ Belt.Array.set(masses, k, t1m.masses[i] *. t2m.masses[j]) |> ignore;
+
+ let mean = combineMeansFn(t1m.means[i], t2m.means[j]);
+ let variance =
+ combineVariancesFn(
+ t1m.variances[i],
+ t2m.variances[j],
+ t1m.means[i],
+ t2m.means[j],
+ );
+ Belt.Array.set(means, k, mean) |> ignore;
+ Belt.Array.set(variances, k, variance) |> ignore;
+ // update bounds
+ let minX = mean -. 2. *. sqrt(variance) *. 1.644854;
+ let maxX = mean +. 2. *. sqrt(variance) *. 1.644854;
+ if (minX < outputMinX^) {
+ outputMinX := minX;
+ };
+ if (maxX > outputMaxX^) {
+ outputMaxX := maxX;
+ };
+ };
+ };
+
+ // we now want to create a set of target points. For now, let's just evenly distribute 200 points between
+ // between the outputMinX and outputMaxX
+ let nOut = 300;
+ let outputXs: array(float) =
+ E.A.Floats.range(outputMinX^, outputMaxX^, nOut);
+ let outputYs: array(float) = Belt.Array.make(nOut, 0.0);
+ // now, for each of the outputYs, accumulate from a Gaussian kernel over each input point.
+ for (j in 0 to E.A.length(masses) - 1) {
+ // go through all of the result points
+ if (variances[j] > 0. && masses[j] > 0.) {
+ for (i in 0 to E.A.length(outputXs) - 1) {
+ // go through all of the target points
+ let dx = outputXs[i] -. means[j];
+ let contribution =
+ masses[j]
+ *. exp(-. (dx ** 2.) /. (2. *. variances[j]))
+ /. sqrt(2. *. 3.14159276 *. variances[j]);
+ Belt.Array.set(outputYs, i, outputYs[i] +. contribution) |> ignore;
+ };
+ };
+ };
+
+ {xs: outputXs, ys: outputYs};
+};
+
+let toDiscretePointMassesFromDiscrete =
+ (s: DistTypes.xyShape): pointMassesWithMoments => {
+ let {xs, ys}: XYShape.T.t = s;
+ let n = E.A.length(xs);
+
+ let masses: array(float) = Belt.Array.makeBy(n, i => ys[i]);
+ let means: array(float) = Belt.Array.makeBy(n, i => xs[i]);
+ let variances: array(float) = Belt.Array.makeBy(n, i => 0.0);
+
+ {n, masses, means, variances};
+};
+
+let combineShapesContinuousDiscrete =
+ (
+ op: ExpressionTypes.algebraicOperation,
+ continuousShape: DistTypes.xyShape,
+ discreteShape: DistTypes.xyShape,
+ )
+ : DistTypes.xyShape => {
+ let t1n = continuousShape |> XYShape.T.length;
+ let t2n = discreteShape |> XYShape.T.length;
+
+ // each x pair is added/subtracted
+ let fn = Operation.Algebraic.toFn(op);
+
+ let outXYShapes: array(array((float, float))) =
+ Belt.Array.makeUninitializedUnsafe(t2n);
+
+ switch (op) {
+ | `Add
+ | `Subtract =>
+ for (j in 0 to t2n - 1) {
+ // creates a new continuous shape for each one of the discrete points, and collects them in outXYShapes.
+ let dxyShape: array((float, float)) =
+ Belt.Array.makeUninitializedUnsafe(t1n);
+ for (i in 0 to t1n - 1) {
+ Belt.Array.set(
+ dxyShape,
+ i,
+ (
+ fn(continuousShape.xs[i], discreteShape.xs[j]),
+ continuousShape.ys[i] *. discreteShape.ys[j],
+ ),
+ )
+ |> ignore;
+ ();
+ };
+ Belt.Array.set(outXYShapes, j, dxyShape) |> ignore;
+ ();
+ }
+ | `Multiply
+ | `Exponentiate
+ | `Divide =>
+ for (j in 0 to t2n - 1) {
+ // creates a new continuous shape for each one of the discrete points, and collects them in outXYShapes.
+ let dxyShape: array((float, float)) =
+ Belt.Array.makeUninitializedUnsafe(t1n);
+ for (i in 0 to t1n - 1) {
+ Belt.Array.set(
+ dxyShape,
+ i,
+ (
+ fn(continuousShape.xs[i], discreteShape.xs[j]),
+ {continuousShape.ys[i] *. discreteShape.ys[j] /. discreteShape.xs[j]}
+ ),
+ )
+ |> ignore;
+ ();
+ };
+ Belt.Array.set(outXYShapes, j, dxyShape) |> ignore;
+ ();
+ }
+ };
+
+ outXYShapes
+ |> E.A.fmap(XYShape.T.fromZippedArray)
+ |> E.A.fold_left(
+ XYShape.PointwiseCombination.combine(
+ (+.),
+ XYShape.XtoY.continuousInterpolator(`Linear, `UseZero),
+ ),
+ XYShape.T.empty,
+ );
+};
diff --git a/packages/squiggle-old/src/distPlus/distribution/Continuous.re b/packages/squiggle-old/src/distPlus/distribution/Continuous.re
new file mode 100644
index 00000000..4f08abbd
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/distribution/Continuous.re
@@ -0,0 +1,332 @@
+open Distributions;
+
+type t = DistTypes.continuousShape;
+let getShape = (t: t) => t.xyShape;
+let interpolation = (t: t) => t.interpolation;
+let make =
+ (
+ ~interpolation=`Linear,
+ ~integralSumCache=None,
+ ~integralCache=None,
+ xyShape,
+ )
+ : t => {
+ xyShape,
+ interpolation,
+ integralSumCache,
+ integralCache,
+};
+let shapeMap =
+ (fn, {xyShape, interpolation, integralSumCache, integralCache}: t): t => {
+ xyShape: fn(xyShape),
+ interpolation,
+ integralSumCache,
+ integralCache,
+};
+let lastY = (t: t) => t |> getShape |> XYShape.T.lastY;
+let oShapeMap =
+ (fn, {xyShape, interpolation, integralSumCache, integralCache}: t)
+ : option(DistTypes.continuousShape) =>
+ fn(xyShape)
+ |> E.O.fmap(make(~interpolation, ~integralSumCache, ~integralCache));
+
+let emptyIntegral: DistTypes.continuousShape = {
+ xyShape: {
+ xs: [|neg_infinity|],
+ ys: [|0.0|],
+ },
+ interpolation: `Linear,
+ integralSumCache: Some(0.0),
+ integralCache: None,
+};
+let empty: DistTypes.continuousShape = {
+ xyShape: XYShape.T.empty,
+ interpolation: `Linear,
+ integralSumCache: Some(0.0),
+ integralCache: Some(emptyIntegral),
+};
+
+let stepwiseToLinear = (t: t): t =>
+ make(
+ ~integralSumCache=t.integralSumCache,
+ ~integralCache=t.integralCache,
+ XYShape.Range.stepwiseToLinear(t.xyShape),
+ );
+
+// Note: This results in a distribution with as many points as the sum of those in t1 and t2.
+let combinePointwise =
+ (
+ ~integralSumCachesFn=(_, _) => None,
+ ~integralCachesFn: (t, t) => option(t)=(_, _) => None,
+ ~distributionType: DistTypes.distributionType=`PDF,
+ fn: (float, float) => float,
+ t1: DistTypes.continuousShape,
+ t2: DistTypes.continuousShape,
+ )
+ : DistTypes.continuousShape => {
+ // If we're adding the distributions, and we know the total of each, then we
+ // can just sum them up. Otherwise, all bets are off.
+ let combinedIntegralSum =
+ Common.combineIntegralSums(
+ integralSumCachesFn,
+ t1.integralSumCache,
+ t2.integralSumCache,
+ );
+
+ // TODO: does it ever make sense to pointwise combine the integrals here?
+ // It could be done for pointwise additions, but is that ever needed?
+
+ // If combining stepwise and linear, we must convert the stepwise to linear first,
+ // i.e. add a point at the bottom of each step
+ let (t1, t2) =
+ switch (t1.interpolation, t2.interpolation) {
+ | (`Linear, `Linear) => (t1, t2)
+ | (`Stepwise, `Stepwise) => (t1, t2)
+ | (`Linear, `Stepwise) => (t1, stepwiseToLinear(t2))
+ | (`Stepwise, `Linear) => (stepwiseToLinear(t1), t2)
+ };
+
+ let extrapolation =
+ switch (distributionType) {
+ | `PDF => `UseZero
+ | `CDF => `UseOutermostPoints
+ };
+
+ let interpolator =
+ XYShape.XtoY.continuousInterpolator(t1.interpolation, extrapolation);
+
+ make(
+ ~integralSumCache=combinedIntegralSum,
+ XYShape.PointwiseCombination.combine(
+ fn,
+ interpolator,
+ t1.xyShape,
+ t2.xyShape,
+ ),
+ );
+};
+
+let toLinear = (t: t): option(t) => {
+ switch (t) {
+ | {interpolation: `Stepwise, xyShape, integralSumCache, integralCache} =>
+ xyShape
+ |> XYShape.Range.stepsToContinuous
+ |> E.O.fmap(make(~integralSumCache, ~integralCache))
+ | {interpolation: `Linear} => Some(t)
+ };
+};
+let shapeFn = (fn, t: t) => t |> getShape |> fn;
+
+let updateIntegralSumCache = (integralSumCache, t: t): t => {
+ ...t,
+ integralSumCache,
+};
+
+let updateIntegralCache = (integralCache, t: t): t => {...t, integralCache};
+
+let reduce =
+ (
+ ~integralSumCachesFn: (float, float) => option(float)=(_, _) => None,
+ ~integralCachesFn: (t, t) => option(t)=(_, _) => None,
+ fn,
+ continuousShapes,
+ ) =>
+ continuousShapes
+ |> E.A.fold_left(
+ combinePointwise(~integralSumCachesFn, ~integralCachesFn, fn),
+ empty,
+ );
+
+let mapY =
+ (~integralSumCacheFn=_ => None, ~integralCacheFn=_ => None, ~fn, t: t) => {
+ make(
+ ~interpolation=t.interpolation,
+ ~integralSumCache=t.integralSumCache |> E.O.bind(_, integralSumCacheFn),
+ ~integralCache=t.integralCache |> E.O.bind(_, integralCacheFn),
+ t |> getShape |> XYShape.T.mapY(fn),
+ );
+};
+
+let rec scaleBy = (~scale=1.0, t: t): t => {
+ let scaledIntegralSumCache =
+ E.O.bind(t.integralSumCache, v => Some(scale *. v));
+ let scaledIntegralCache =
+ E.O.bind(t.integralCache, v => Some(scaleBy(~scale, v)));
+
+ t
+ |> mapY(~fn=(r: float) => r *. scale)
+ |> updateIntegralSumCache(scaledIntegralSumCache)
+ |> updateIntegralCache(scaledIntegralCache);
+};
+
+module T =
+ Dist({
+ type t = DistTypes.continuousShape;
+ type integral = DistTypes.continuousShape;
+ let minX = shapeFn(XYShape.T.minX);
+ let maxX = shapeFn(XYShape.T.maxX);
+ let mapY = mapY;
+ let updateIntegralCache = updateIntegralCache;
+ let toDiscreteProbabilityMassFraction = _ => 0.0;
+ let toShape = (t: t): DistTypes.shape => Continuous(t);
+ let xToY = (f, {interpolation, xyShape}: t) => {
+ (
+ switch (interpolation) {
+ | `Stepwise =>
+ xyShape |> XYShape.XtoY.stepwiseIncremental(f) |> E.O.default(0.0)
+ | `Linear => xyShape |> XYShape.XtoY.linear(f)
+ }
+ )
+ |> DistTypes.MixedPoint.makeContinuous;
+ };
+
+ let truncate =
+ (leftCutoff: option(float), rightCutoff: option(float), t: t) => {
+ let lc = E.O.default(neg_infinity, leftCutoff);
+ let rc = E.O.default(infinity, rightCutoff);
+ let truncatedZippedPairs =
+ t
+ |> getShape
+ |> XYShape.T.zip
+ |> XYShape.Zipped.filterByX(x => x >= lc && x <= rc);
+
+ let leftNewPoint =
+ leftCutoff
+ |> E.O.dimap(lc => [|(lc -. epsilon_float, 0.)|], _ => [||]);
+ let rightNewPoint =
+ rightCutoff
+ |> E.O.dimap(rc => [|(rc +. epsilon_float, 0.)|], _ => [||]);
+
+ let truncatedZippedPairsWithNewPoints =
+ E.A.concatMany([|leftNewPoint, truncatedZippedPairs, rightNewPoint|]);
+ let truncatedShape =
+ XYShape.T.fromZippedArray(truncatedZippedPairsWithNewPoints);
+
+ make(truncatedShape);
+ };
+
+ // TODO: This should work with stepwise plots.
+ let integral = t =>
+ switch (getShape(t) |> XYShape.T.isEmpty, t.integralCache) {
+ | (true, _) => emptyIntegral
+ | (false, Some(cache)) => cache
+ | (false, None) =>
+ t
+ |> getShape
+ |> XYShape.Range.integrateWithTriangles
+ |> E.O.toExt("This should not have happened")
+ |> make
+ };
+
+ let downsample = (length, t): t =>
+ t
+ |> shapeMap(
+ XYShape.XsConversion.proportionByProbabilityMass(
+ length,
+ integral(t).xyShape,
+ ),
+ );
+ let integralEndY = (t: t) =>
+ t.integralSumCache |> E.O.default(t |> integral |> lastY);
+ let integralXtoY = (f, t: t) =>
+ t |> integral |> shapeFn(XYShape.XtoY.linear(f));
+ let integralYtoX = (f, t: t) =>
+ t |> integral |> shapeFn(XYShape.YtoX.linear(f));
+ let toContinuous = t => Some(t);
+ let toDiscrete = _ => None;
+
+ let normalize = (t: t): t => {
+ t
+ |> updateIntegralCache(Some(integral(t)))
+ |> scaleBy(~scale=1. /. integralEndY(t))
+ |> updateIntegralSumCache(Some(1.0));
+ };
+
+ let mean = (t: t) => {
+ let indefiniteIntegralStepwise = (p, h1) => h1 *. p ** 2.0 /. 2.0;
+ let indefiniteIntegralLinear = (p, a, b) =>
+ a *. p ** 2.0 /. 2.0 +. b *. p ** 3.0 /. 3.0;
+
+ XYShape.Analysis.integrateContinuousShape(
+ ~indefiniteIntegralStepwise,
+ ~indefiniteIntegralLinear,
+ t,
+ );
+ };
+ let variance = (t: t): float =>
+ XYShape.Analysis.getVarianceDangerously(
+ t,
+ mean,
+ XYShape.Analysis.getMeanOfSquaresContinuousShape,
+ );
+ });
+
+/* This simply creates multiple copies of the continuous distribution, scaled and shifted according to
+ each discrete data point, and then adds them all together. */
+let combineAlgebraicallyWithDiscrete =
+ (
+ op: ExpressionTypes.algebraicOperation,
+ t1: t,
+ t2: DistTypes.discreteShape,
+ ) => {
+ let t1s = t1 |> getShape;
+ let t2s = t2.xyShape; // TODO would like to use Discrete.getShape here, but current file structure doesn't allow for that
+
+ if (XYShape.T.isEmpty(t1s) || XYShape.T.isEmpty(t2s)) {
+ empty;
+ } else {
+ let continuousAsLinear =
+ switch (t1.interpolation) {
+ | `Linear => t1
+ | `Stepwise => stepwiseToLinear(t1)
+ };
+
+ let combinedShape =
+ AlgebraicShapeCombination.combineShapesContinuousDiscrete(
+ op,
+ continuousAsLinear |> getShape,
+ t2s,
+ );
+
+ let combinedIntegralSum =
+ switch (op) {
+ | `Multiply
+ | `Divide =>
+ Common.combineIntegralSums(
+ (a, b) => Some(a *. b),
+ t1.integralSumCache,
+ t2.integralSumCache,
+ )
+ | _ => None
+ };
+
+ // TODO: It could make sense to automatically transform the integrals here (shift or scale)
+ make(
+ ~interpolation=t1.interpolation,
+ ~integralSumCache=combinedIntegralSum,
+ combinedShape,
+ );
+ };
+};
+
+let combineAlgebraically =
+ (op: ExpressionTypes.algebraicOperation, t1: t, t2: t) => {
+ let s1 = t1 |> getShape;
+ let s2 = t2 |> getShape;
+ let t1n = s1 |> XYShape.T.length;
+ let t2n = s2 |> XYShape.T.length;
+ if (t1n == 0 || t2n == 0) {
+ empty;
+ } else {
+ let combinedShape =
+ AlgebraicShapeCombination.combineShapesContinuousContinuous(op, s1, s2);
+ let combinedIntegralSum =
+ Common.combineIntegralSums(
+ (a, b) => Some(a *. b),
+ t1.integralSumCache,
+ t2.integralSumCache,
+ );
+ // return a new Continuous distribution
+ make(~integralSumCache=combinedIntegralSum, combinedShape);
+ };
+};
diff --git a/packages/squiggle-old/src/distPlus/distribution/Discrete.re b/packages/squiggle-old/src/distPlus/distribution/Discrete.re
new file mode 100644
index 00000000..8a64a454
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/distribution/Discrete.re
@@ -0,0 +1,232 @@
+open Distributions;
+
+type t = DistTypes.discreteShape;
+
+let make = (~integralSumCache=None, ~integralCache=None, xyShape): t => {xyShape, integralSumCache, integralCache};
+let shapeMap = (fn, {xyShape, integralSumCache, integralCache}: t): t => {
+ xyShape: fn(xyShape),
+ integralSumCache,
+ integralCache
+};
+let getShape = (t: t) => t.xyShape;
+let oShapeMap = (fn, {xyShape, integralSumCache, integralCache}: t): option(t) =>
+ fn(xyShape) |> E.O.fmap(make(~integralSumCache, ~integralCache));
+
+let emptyIntegral: DistTypes.continuousShape = {
+ xyShape: {xs: [|neg_infinity|], ys: [|0.0|]},
+ interpolation: `Stepwise,
+ integralSumCache: Some(0.0),
+ integralCache: None,
+};
+let empty: DistTypes.discreteShape = {
+ xyShape: XYShape.T.empty,
+ integralSumCache: Some(0.0),
+ integralCache: Some(emptyIntegral),
+};
+
+
+let shapeFn = (fn, t: t) => t |> getShape |> fn;
+
+let lastY = (t: t) => t |> getShape |> XYShape.T.lastY;
+
+let combinePointwise =
+ (
+ ~integralSumCachesFn = (_, _) => None,
+ ~integralCachesFn: (DistTypes.continuousShape, DistTypes.continuousShape) => option(DistTypes.continuousShape) = (_, _) => None,
+ fn,
+ t1: DistTypes.discreteShape,
+ t2: DistTypes.discreteShape,
+ )
+ : DistTypes.discreteShape => {
+ let combinedIntegralSum =
+ Common.combineIntegralSums(
+ integralSumCachesFn,
+ t1.integralSumCache,
+ t2.integralSumCache,
+ );
+
+ // TODO: does it ever make sense to pointwise combine the integrals here?
+ // It could be done for pointwise additions, but is that ever needed?
+
+ make(
+ ~integralSumCache=combinedIntegralSum,
+ XYShape.PointwiseCombination.combine(
+ (+.),
+ XYShape.XtoY.discreteInterpolator,
+ t1.xyShape,
+ t2.xyShape,
+ ),
+ );
+};
+
+let reduce =
+ (~integralSumCachesFn=(_, _) => None,
+ ~integralCachesFn=(_, _) => None,
+ fn, discreteShapes)
+ : DistTypes.discreteShape =>
+ discreteShapes
+ |> E.A.fold_left(combinePointwise(~integralSumCachesFn, ~integralCachesFn, fn), empty);
+
+let updateIntegralSumCache = (integralSumCache, t: t): t => {
+ ...t,
+ integralSumCache,
+};
+
+let updateIntegralCache = (integralCache, t: t): t => {
+ ...t,
+ integralCache,
+};
+
+/* This multiples all of the data points together and creates a new discrete distribution from the results.
+ Data points at the same xs get added together. It may be a good idea to downsample t1 and t2 before and/or the result after. */
+let combineAlgebraically =
+ (op: ExpressionTypes.algebraicOperation, t1: t, t2: t): t => {
+ let t1s = t1 |> getShape;
+ let t2s = t2 |> getShape;
+ let t1n = t1s |> XYShape.T.length;
+ let t2n = t2s |> XYShape.T.length;
+
+ let combinedIntegralSum =
+ Common.combineIntegralSums(
+ (s1, s2) => Some(s1 *. s2),
+ t1.integralSumCache,
+ t2.integralSumCache,
+ );
+
+ let fn = Operation.Algebraic.toFn(op);
+ let xToYMap = E.FloatFloatMap.empty();
+
+ for (i in 0 to t1n - 1) {
+ for (j in 0 to t2n - 1) {
+ let x = fn(t1s.xs[i], t2s.xs[j]);
+ let cv = xToYMap |> E.FloatFloatMap.get(x) |> E.O.default(0.);
+ let my = t1s.ys[i] *. t2s.ys[j];
+ let _ = Belt.MutableMap.set(xToYMap, x, cv +. my);
+ ();
+ };
+ };
+
+ let rxys = xToYMap |> E.FloatFloatMap.toArray |> XYShape.Zipped.sortByX;
+
+ let combinedShape = XYShape.T.fromZippedArray(rxys);
+
+ make(~integralSumCache=combinedIntegralSum, combinedShape);
+};
+
+let mapY = (~integralSumCacheFn=_ => None,
+ ~integralCacheFn=_ => None,
+ ~fn, t: t) => {
+ make(
+ ~integralSumCache=t.integralSumCache |> E.O.bind(_, integralSumCacheFn),
+ ~integralCache=t.integralCache |> E.O.bind(_, integralCacheFn),
+ t |> getShape |> XYShape.T.mapY(fn),
+ );
+};
+
+
+let scaleBy = (~scale=1.0, t: t): t => {
+ let scaledIntegralSumCache = t.integralSumCache |> E.O.fmap((*.)(scale));
+ let scaledIntegralCache = t.integralCache |> E.O.fmap(Continuous.scaleBy(~scale));
+
+ t
+ |> mapY(~fn=(r: float) => r *. scale)
+ |> updateIntegralSumCache(scaledIntegralSumCache)
+ |> updateIntegralCache(scaledIntegralCache)
+};
+
+module T =
+ Dist({
+ type t = DistTypes.discreteShape;
+ type integral = DistTypes.continuousShape;
+ let integral = (t) =>
+ switch (getShape(t) |> XYShape.T.isEmpty, t.integralCache) {
+ | (true, _) => emptyIntegral
+ | (false, Some(c)) => c
+ | (false, None) => {
+ let ts = getShape(t);
+ // The first xy of this integral should always be the zero, to ensure nice plotting
+ let firstX = ts |> XYShape.T.minX;
+ let prependedZeroPoint: XYShape.T.t = {xs: [|firstX -. epsilon_float|], ys: [|0.|]};
+ let integralShape =
+ ts
+ |> XYShape.T.concat(prependedZeroPoint)
+ |> XYShape.T.accumulateYs((+.));
+
+ Continuous.make(~interpolation=`Stepwise, integralShape);
+ }
+ };
+
+ let integralEndY = (t: t) =>
+ t.integralSumCache
+ |> E.O.default(t |> integral |> Continuous.lastY);
+ let minX = shapeFn(XYShape.T.minX);
+ let maxX = shapeFn(XYShape.T.maxX);
+ let toDiscreteProbabilityMassFraction = _ => 1.0;
+ let mapY = mapY;
+ let updateIntegralCache = updateIntegralCache;
+ let toShape = (t: t): DistTypes.shape => Discrete(t);
+ let toContinuous = _ => None;
+ let toDiscrete = t => Some(t);
+
+ let normalize = (t: t): t => {
+ t
+ |> scaleBy(~scale=1. /. integralEndY(t))
+ |> updateIntegralSumCache(Some(1.0));
+ };
+
+ let downsample = (i, t: t): t => {
+ // It's not clear how to downsample a set of discrete points in a meaningful way.
+ // The best we can do is to clip off the smallest values.
+ let currentLength = t |> getShape |> XYShape.T.length;
+
+ if (i < currentLength && i >= 1 && currentLength > 1) {
+ t
+ |> getShape
+ |> XYShape.T.zip
+ |> XYShape.Zipped.sortByY
+ |> Belt.Array.reverse
+ |> Belt.Array.slice(_, ~offset=0, ~len=i)
+ |> XYShape.Zipped.sortByX
+ |> XYShape.T.fromZippedArray
+ |> make;
+ } else {
+ t;
+ };
+ };
+
+ let truncate =
+ (leftCutoff: option(float), rightCutoff: option(float), t: t): t => {
+ t
+ |> getShape
+ |> XYShape.T.zip
+ |> XYShape.Zipped.filterByX(x =>
+ x >= E.O.default(neg_infinity, leftCutoff)
+ && x <= E.O.default(infinity, rightCutoff)
+ )
+ |> XYShape.T.fromZippedArray
+ |> make;
+ };
+
+ let xToY = (f, t) =>
+ t
+ |> getShape
+ |> XYShape.XtoY.stepwiseIfAtX(f)
+ |> E.O.default(0.0)
+ |> DistTypes.MixedPoint.makeDiscrete;
+
+ let integralXtoY = (f, t) =>
+ t |> integral |> Continuous.getShape |> XYShape.XtoY.linear(f);
+
+ let integralYtoX = (f, t) =>
+ t |> integral |> Continuous.getShape |> XYShape.YtoX.linear(f);
+
+ let mean = (t: t): float => {
+ let s = getShape(t);
+ E.A.reducei(s.xs, 0.0, (acc, x, i) => acc +. x *. s.ys[i]);
+ };
+ let variance = (t: t): float => {
+ let getMeanOfSquares = t =>
+ t |> shapeMap(XYShape.Analysis.squareXYShape) |> mean;
+ XYShape.Analysis.getVarianceDangerously(t, mean, getMeanOfSquares);
+ };
+ });
diff --git a/packages/squiggle-old/src/distPlus/distribution/DistPlus.re b/packages/squiggle-old/src/distPlus/distribution/DistPlus.re
new file mode 100644
index 00000000..15722bb7
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/distribution/DistPlus.re
@@ -0,0 +1,129 @@
+open DistTypes;
+
+type t = DistTypes.distPlus;
+
+let shapeIntegral = shape => Shape.T.Integral.get(shape);
+let make =
+ (
+ ~shape,
+ ~squiggleString,
+ ~domain=Complete,
+ ~unit=UnspecifiedDistribution,
+ (),
+ )
+ : t => {
+ let integral = shapeIntegral(shape);
+ {shape, domain, integralCache: integral, unit, squiggleString};
+};
+
+let update =
+ (
+ ~shape=?,
+ ~integralCache=?,
+ ~domain=?,
+ ~unit=?,
+ ~squiggleString=?,
+ t: t,
+ ) => {
+ shape: E.O.default(t.shape, shape),
+ integralCache: E.O.default(t.integralCache, integralCache),
+ domain: E.O.default(t.domain, domain),
+ unit: E.O.default(t.unit, unit),
+ squiggleString: E.O.default(t.squiggleString, squiggleString),
+};
+
+let updateShape = (shape, t) => {
+ let integralCache = shapeIntegral(shape);
+ update(~shape, ~integralCache, t);
+};
+
+let domainIncludedProbabilityMass = (t: t) =>
+ Domain.includedProbabilityMass(t.domain);
+
+let domainIncludedProbabilityMassAdjustment = (t: t, f) =>
+ f *. Domain.includedProbabilityMass(t.domain);
+
+let toShape = ({shape, _}: t) => shape;
+
+let shapeFn = (fn, {shape}: t) => fn(shape);
+
+module T =
+ Distributions.Dist({
+ type t = DistTypes.distPlus;
+ type integral = DistTypes.distPlus;
+ let toShape = toShape;
+ let toContinuous = shapeFn(Shape.T.toContinuous);
+ let toDiscrete = shapeFn(Shape.T.toDiscrete);
+
+ let normalize = (t: t): t => {
+ let normalizedShape = t |> toShape |> Shape.T.normalize;
+ t |> updateShape(normalizedShape);
+ };
+
+ let truncate = (leftCutoff, rightCutoff, t: t): t => {
+ let truncatedShape =
+ t
+ |> toShape
+ |> Shape.T.truncate(leftCutoff, rightCutoff);
+
+ t |> updateShape(truncatedShape);
+ };
+
+ let xToY = (f, t: t) =>
+ t
+ |> toShape
+ |> Shape.T.xToY(f)
+ |> MixedPoint.fmap(domainIncludedProbabilityMassAdjustment(t));
+
+ let minX = shapeFn(Shape.T.minX);
+ let maxX = shapeFn(Shape.T.maxX);
+ let toDiscreteProbabilityMassFraction =
+ shapeFn(Shape.T.toDiscreteProbabilityMassFraction);
+
+ // This bit is kind of awkward, could probably use rethinking.
+ let integral = (t: t) =>
+ updateShape(Continuous(t.integralCache), t);
+
+ let updateIntegralCache = (integralCache: option(DistTypes.continuousShape), t) =>
+ update(~integralCache=E.O.default(t.integralCache, integralCache), t);
+
+ let downsample = (i, t): t =>
+ updateShape(t |> toShape |> Shape.T.downsample(i), t);
+ // todo: adjust for limit, maybe?
+ let mapY =
+ (
+ ~integralSumCacheFn=previousIntegralSum => None,
+ ~integralCacheFn=previousIntegralCache => None,
+ ~fn,
+ {shape, _} as t: t,
+ )
+ : t =>
+ Shape.T.mapY(~integralSumCacheFn, ~fn, shape)
+ |> updateShape(_, t);
+
+ // get the total of everything
+ let integralEndY = (t: t) => {
+ Shape.T.Integral.sum(
+ toShape(t),
+ );
+ };
+
+ // TODO: Fix this below, obviously. Adjust for limits
+ let integralXtoY = (f, t: t) => {
+ Shape.T.Integral.xToY(
+ f,
+ toShape(t),
+ )
+ |> domainIncludedProbabilityMassAdjustment(t);
+ };
+
+ // TODO: This part is broken when there is a limit, if this is supposed to be taken into account.
+ let integralYtoX = (f, t: t) => {
+ Shape.T.Integral.yToX(f, toShape(t));
+ };
+
+ let mean = (t: t) => {
+ Shape.T.mean(t.shape);
+ };
+ let variance = (t: t) => Shape.T.variance(t.shape);
+ });
diff --git a/packages/squiggle-old/src/distPlus/distribution/DistPlusTime.re b/packages/squiggle-old/src/distPlus/distribution/DistPlusTime.re
new file mode 100644
index 00000000..d5b36f8e
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/distribution/DistPlusTime.re
@@ -0,0 +1,28 @@
+ open DistTypes;
+
+ type t = DistTypes.distPlus;
+
+ let unitToJson = ({unit}: t) => unit |> DistTypes.DistributionUnit.toJson;
+
+ let timeVector = ({unit}: t) =>
+ switch (unit) {
+ | TimeDistribution(timeVector) => Some(timeVector)
+ | UnspecifiedDistribution => None
+ };
+
+ let timeInVectorToX = (f: TimeTypes.timeInVector, t: t) => {
+ let timeVector = t |> timeVector;
+ timeVector |> E.O.fmap(TimeTypes.RelativeTimePoint.toXValue(_, f));
+ };
+
+ let xToY = (f: TimeTypes.timeInVector, t: t) => {
+ timeInVectorToX(f, t) |> E.O.fmap(DistPlus.T.xToY(_, t));
+ };
+
+ module Integral = {
+ include DistPlus.T.Integral;
+ let xToY = (f: TimeTypes.timeInVector, t: t) => {
+ timeInVectorToX(f, t)
+ |> E.O.fmap(x => DistPlus.T.Integral.xToY(x, t));
+ };
+ };
diff --git a/packages/squiggle-old/src/distPlus/distribution/DistTypes.re b/packages/squiggle-old/src/distPlus/distribution/DistTypes.re
new file mode 100644
index 00000000..6f687cba
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/distribution/DistTypes.re
@@ -0,0 +1,179 @@
+type domainLimit = {
+ xPoint: float,
+ excludingProbabilityMass: float,
+};
+
+type domain =
+ | Complete
+ | LeftLimited(domainLimit)
+ | RightLimited(domainLimit)
+ | LeftAndRightLimited(domainLimit, domainLimit);
+
+type distributionType = [
+ | `PDF
+ | `CDF
+];
+
+type xyShape = {
+ xs: array(float),
+ ys: array(float),
+};
+
+type interpolationStrategy = [
+ | `Stepwise
+ | `Linear
+];
+type extrapolationStrategy = [
+ | `UseZero
+ | `UseOutermostPoints
+];
+
+type interpolator = (xyShape, int, float) => float;
+
+type continuousShape = {
+ xyShape,
+ interpolation: interpolationStrategy,
+ integralSumCache: option(float),
+ integralCache: option(continuousShape),
+};
+
+type discreteShape = {
+ xyShape,
+ integralSumCache: option(float),
+ integralCache: option(continuousShape),
+};
+
+type mixedShape = {
+ continuous: continuousShape,
+ discrete: discreteShape,
+ integralSumCache: option(float),
+ integralCache: option(continuousShape),
+};
+
+type shapeMonad('a, 'b, 'c) =
+ | Mixed('a)
+ | Discrete('b)
+ | Continuous('c);
+
+type shape = shapeMonad(mixedShape, discreteShape, continuousShape);
+
+module ShapeMonad = {
+ let fmap =
+ (t: shapeMonad('a, 'b, 'c), (fn1, fn2, fn3)): shapeMonad('d, 'e, 'f) =>
+ switch (t) {
+ | Mixed(m) => Mixed(fn1(m))
+ | Discrete(m) => Discrete(fn2(m))
+ | Continuous(m) => Continuous(fn3(m))
+ };
+};
+
+type generationSource =
+ | SquiggleString(string)
+ | Shape(shape);
+
+type distributionUnit =
+ | UnspecifiedDistribution
+ | TimeDistribution(TimeTypes.timeVector);
+
+type distPlus = {
+ shape,
+ domain,
+ integralCache: continuousShape,
+ unit: distributionUnit,
+ squiggleString: option(string),
+};
+
+module DistributionUnit = {
+ let toJson = (distributionUnit: distributionUnit) =>
+ switch (distributionUnit) {
+ | TimeDistribution({zero, unit}) =>
+ Js.Null.fromOption(
+ Some({"zero": zero, "unit": unit |> TimeTypes.TimeUnit.toString}),
+ )
+ | _ => Js.Null.fromOption(None)
+ };
+};
+
+module Domain = {
+ let excludedProbabilityMass = (t: domain) => {
+ switch (t) {
+ | Complete => 0.0
+ | LeftLimited({excludingProbabilityMass}) => excludingProbabilityMass
+ | RightLimited({excludingProbabilityMass}) => excludingProbabilityMass
+ | LeftAndRightLimited(
+ {excludingProbabilityMass: l},
+ {excludingProbabilityMass: r},
+ ) =>
+ l +. r
+ };
+ };
+
+ let includedProbabilityMass = (t: domain) =>
+ 1.0 -. excludedProbabilityMass(t);
+
+ let initialProbabilityMass = (t: domain) => {
+ switch (t) {
+ | Complete
+ | RightLimited(_) => 0.0
+ | LeftLimited({excludingProbabilityMass}) => excludingProbabilityMass
+ | LeftAndRightLimited({excludingProbabilityMass}, _) => excludingProbabilityMass
+ };
+ };
+
+ let normalizeProbabilityMass = (t: domain) => {
+ 1. /. excludedProbabilityMass(t);
+ };
+
+ let yPointToSubYPoint = (t: domain, yPoint) => {
+ switch (t) {
+ | Complete => Some(yPoint)
+ | LeftLimited({excludingProbabilityMass})
+ when yPoint < excludingProbabilityMass =>
+ None
+ | LeftLimited({excludingProbabilityMass})
+ when yPoint >= excludingProbabilityMass =>
+ Some(
+ (yPoint -. excludingProbabilityMass) /. includedProbabilityMass(t),
+ )
+ | RightLimited({excludingProbabilityMass})
+ when yPoint > 1. -. excludingProbabilityMass =>
+ None
+ | RightLimited({excludingProbabilityMass})
+ when yPoint <= 1. -. excludingProbabilityMass =>
+ Some(yPoint /. includedProbabilityMass(t))
+ | LeftAndRightLimited({excludingProbabilityMass: l}, _) when yPoint < l =>
+ None
+ | LeftAndRightLimited(_, {excludingProbabilityMass: r})
+ when yPoint > 1.0 -. r =>
+ None
+ | LeftAndRightLimited({excludingProbabilityMass: l}, _) =>
+ Some((yPoint -. l) /. includedProbabilityMass(t))
+ | _ => None
+ };
+ };
+};
+
+type mixedPoint = {
+ continuous: float,
+ discrete: float,
+};
+
+module MixedPoint = {
+ type t = mixedPoint;
+ let toContinuousValue = (t: t) => t.continuous;
+ let toDiscreteValue = (t: t) => t.discrete;
+ let makeContinuous = (continuous: float): t => {continuous, discrete: 0.0};
+ let makeDiscrete = (discrete: float): t => {continuous: 0.0, discrete};
+
+ let fmap = (fn: float => float, t: t) => {
+ continuous: fn(t.continuous),
+ discrete: fn(t.discrete),
+ };
+
+ let combine2 = (fn, c: t, d: t): t => {
+ continuous: fn(c.continuous, d.continuous),
+ discrete: fn(c.discrete, d.discrete),
+ };
+
+ let add = combine2((a, b) => a +. b);
+};
diff --git a/packages/squiggle-old/src/distPlus/distribution/Distributions.re b/packages/squiggle-old/src/distPlus/distribution/Distributions.re
new file mode 100644
index 00000000..05b57edb
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/distribution/Distributions.re
@@ -0,0 +1,84 @@
+module type dist = {
+ type t;
+ type integral;
+ let minX: t => float;
+ let maxX: t => float;
+ let mapY:
+ (~integralSumCacheFn: float => option(float)=?, ~integralCacheFn: DistTypes.continuousShape => option(DistTypes.continuousShape)=?, ~fn: float => float, t) => t;
+ let xToY: (float, t) => DistTypes.mixedPoint;
+ let toShape: t => DistTypes.shape;
+ let toContinuous: t => option(DistTypes.continuousShape);
+ let toDiscrete: t => option(DistTypes.discreteShape);
+ let normalize: t => t;
+ let toDiscreteProbabilityMassFraction: t => float;
+ let downsample: (int, t) => t;
+ let truncate: (option(float), option(float), t) => t;
+
+ let updateIntegralCache: (option(DistTypes.continuousShape), t) => t;
+
+ let integral: (t) => integral;
+ let integralEndY: (t) => float;
+ let integralXtoY: (float, t) => float;
+ let integralYtoX: (float, t) => float;
+
+ let mean: t => float;
+ let variance: t => float;
+};
+
+module Dist = (T: dist) => {
+ type t = T.t;
+ type integral = T.integral;
+ let minX = T.minX;
+ let maxX = T.maxX;
+ let integral = T.integral;
+ let xTotalRange = (t: t) => maxX(t) -. minX(t);
+ let mapY = T.mapY;
+ let xToY = T.xToY;
+ let downsample = T.downsample;
+ let toShape = T.toShape;
+ let toDiscreteProbabilityMassFraction = T.toDiscreteProbabilityMassFraction;
+ let toContinuous = T.toContinuous;
+ let toDiscrete = T.toDiscrete;
+ let normalize = T.normalize;
+ let truncate = T.truncate;
+ let mean = T.mean;
+ let variance = T.variance;
+
+ let updateIntegralCache = T.updateIntegralCache;
+
+ module Integral = {
+ type t = T.integral;
+ let get = T.integral;
+ let xToY = T.integralXtoY;
+ let yToX = T.integralYtoX;
+ let sum = T.integralEndY;
+ };
+};
+
+module Common = {
+ let combineIntegralSums =
+ (
+ combineFn: (float, float) => option(float),
+ t1IntegralSumCache: option(float),
+ t2IntegralSumCache: option(float),
+ ) => {
+ switch (t1IntegralSumCache, t2IntegralSumCache) {
+ | (None, _)
+ | (_, None) => None
+ | (Some(s1), Some(s2)) => combineFn(s1, s2)
+ };
+ };
+
+ let combineIntegrals =
+ (
+ combineFn: (DistTypes.continuousShape, DistTypes.continuousShape) => option(DistTypes.continuousShape),
+ t1IntegralCache: option(DistTypes.continuousShape),
+ t2IntegralCache: option(DistTypes.continuousShape),
+ ) => {
+ switch (t1IntegralCache, t2IntegralCache) {
+ | (None, _)
+ | (_, None) => None
+ | (Some(s1), Some(s2)) => combineFn(s1, s2)
+ };
+ };
+};
diff --git a/packages/squiggle-old/src/distPlus/distribution/Mixed.re b/packages/squiggle-old/src/distPlus/distribution/Mixed.re
new file mode 100644
index 00000000..4c28d08c
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/distribution/Mixed.re
@@ -0,0 +1,332 @@
+open Distributions;
+
+type t = DistTypes.mixedShape;
+let make = (~integralSumCache=None, ~integralCache=None, ~continuous, ~discrete): t => {continuous, discrete, integralSumCache, integralCache};
+
+let totalLength = (t: t): int => {
+ let continuousLength =
+ t.continuous |> Continuous.getShape |> XYShape.T.length;
+ let discreteLength = t.discrete |> Discrete.getShape |> XYShape.T.length;
+
+ continuousLength + discreteLength;
+};
+
+let scaleBy = (~scale=1.0, t: t): t => {
+ let scaledDiscrete = Discrete.scaleBy(~scale, t.discrete);
+ let scaledContinuous = Continuous.scaleBy(~scale, t.continuous);
+ let scaledIntegralCache = E.O.bind(t.integralCache, v => Some(Continuous.scaleBy(~scale, v)));
+ let scaledIntegralSumCache = E.O.bind(t.integralSumCache, s => Some(s *. scale));
+ make(~discrete=scaledDiscrete, ~continuous=scaledContinuous, ~integralSumCache=scaledIntegralSumCache, ~integralCache=scaledIntegralCache);
+};
+
+let toContinuous = ({continuous}: t) => Some(continuous);
+let toDiscrete = ({discrete}: t) => Some(discrete);
+
+let updateIntegralCache = (integralCache, t: t): t => {
+ ...t,
+ integralCache,
+};
+
+module T =
+ Dist({
+ type t = DistTypes.mixedShape;
+ type integral = DistTypes.continuousShape;
+ let minX = ({continuous, discrete}: t) => {
+ min(Continuous.T.minX(continuous), Discrete.T.minX(discrete));
+ };
+ let maxX = ({continuous, discrete}: t) =>
+ max(Continuous.T.maxX(continuous), Discrete.T.maxX(discrete));
+ let toShape = (t: t): DistTypes.shape => Mixed(t);
+
+ let updateIntegralCache = updateIntegralCache;
+
+ let toContinuous = toContinuous;
+ let toDiscrete = toDiscrete;
+
+ let truncate =
+ (
+ leftCutoff: option(float),
+ rightCutoff: option(float),
+ {discrete, continuous}: t,
+ ) => {
+ let truncatedContinuous =
+ Continuous.T.truncate(leftCutoff, rightCutoff, continuous);
+ let truncatedDiscrete =
+ Discrete.T.truncate(leftCutoff, rightCutoff, discrete);
+
+ make(~integralSumCache=None, ~integralCache=None, ~discrete=truncatedDiscrete, ~continuous=truncatedContinuous);
+ };
+
+ let normalize = (t: t): t => {
+ let continuousIntegral = Continuous.T.Integral.get(t.continuous);
+ let discreteIntegral = Discrete.T.Integral.get(t.discrete);
+
+ let continuous = t.continuous |> Continuous.updateIntegralCache(Some(continuousIntegral));
+ let discrete = t.discrete |> Discrete.updateIntegralCache(Some(discreteIntegral));
+
+ let continuousIntegralSum =
+ Continuous.T.Integral.sum(continuous);
+ let discreteIntegralSum =
+ Discrete.T.Integral.sum(discrete);
+ let totalIntegralSum = continuousIntegralSum +. discreteIntegralSum;
+
+ let newContinuousSum = continuousIntegralSum /. totalIntegralSum;
+ let newDiscreteSum = discreteIntegralSum /. totalIntegralSum;
+
+ let normalizedContinuous =
+ continuous
+ |> Continuous.scaleBy(~scale=newContinuousSum /. continuousIntegralSum)
+ |> Continuous.updateIntegralSumCache(Some(newContinuousSum));
+ let normalizedDiscrete =
+ discrete
+ |> Discrete.scaleBy(~scale=newDiscreteSum /. discreteIntegralSum)
+ |> Discrete.updateIntegralSumCache(Some(newDiscreteSum));
+
+ make(~integralSumCache=Some(1.0), ~integralCache=None, ~continuous=normalizedContinuous, ~discrete=normalizedDiscrete);
+ };
+
+ let xToY = (x, t: t) => {
+ // This evaluates the mixedShape at x, interpolating if necessary.
+ // Note that we normalize entire mixedShape first.
+ let {continuous, discrete}: t = normalize(t);
+ let c = Continuous.T.xToY(x, continuous);
+ let d = Discrete.T.xToY(x, discrete);
+ DistTypes.MixedPoint.add(c, d); // "add" here just combines the two values into a single MixedPoint.
+ };
+
+ let toDiscreteProbabilityMassFraction = ({discrete, continuous}: t) => {
+ let discreteIntegralSum =
+ Discrete.T.Integral.sum(discrete);
+ let continuousIntegralSum =
+ Continuous.T.Integral.sum(continuous);
+ let totalIntegralSum = discreteIntegralSum +. continuousIntegralSum;
+
+ discreteIntegralSum /. totalIntegralSum;
+ };
+
+ let downsample = (count, t: t): t => {
+ // We will need to distribute the new xs fairly between the discrete and continuous shapes.
+ // The easiest way to do this is to simply go by the previous probability masses.
+
+ let discreteIntegralSum =
+ Discrete.T.Integral.sum(t.discrete);
+ let continuousIntegralSum =
+ Continuous.T.Integral.sum(t.continuous);
+ let totalIntegralSum = discreteIntegralSum +. continuousIntegralSum;
+
+ // TODO: figure out what to do when the totalIntegralSum is zero.
+
+ let downsampledDiscrete =
+ Discrete.T.downsample(
+ int_of_float(
+ float_of_int(count) *. (discreteIntegralSum /. totalIntegralSum),
+ ),
+ t.discrete,
+ );
+
+ let downsampledContinuous =
+ Continuous.T.downsample(
+ int_of_float(
+ float_of_int(count) *. (continuousIntegralSum /. totalIntegralSum),
+ ),
+ t.continuous,
+ );
+
+ {...t, discrete: downsampledDiscrete, continuous: downsampledContinuous};
+ };
+
+ let integral = (t: t) => {
+ switch (t.integralCache) {
+ | Some(cache) => cache
+ | None =>
+ // note: if the underlying shapes aren't normalized, then these integrals won't be either -- but that's the way it should be.
+ let continuousIntegral = Continuous.T.Integral.get(t.continuous);
+ let discreteIntegral = Continuous.stepwiseToLinear(Discrete.T.Integral.get(t.discrete));
+
+ Continuous.make(
+ XYShape.PointwiseCombination.combine(
+ (+.),
+ XYShape.XtoY.continuousInterpolator(`Linear, `UseOutermostPoints),
+ Continuous.getShape(continuousIntegral),
+ Continuous.getShape(discreteIntegral),
+ ),
+ );
+ };
+ };
+
+ let integralEndY = (t: t) => {
+ t |> integral |> Continuous.lastY;
+ };
+
+ let integralXtoY = (f, t) => {
+ t |> integral |> Continuous.getShape |> XYShape.XtoY.linear(f);
+ };
+
+ let integralYtoX = (f, t) => {
+ t |> integral |> Continuous.getShape |> XYShape.YtoX.linear(f);
+ };
+
+ // This pipes all ys (continuous and discrete) through fn.
+ // If mapY is a linear operation, we might be able to update the integralSumCaches as well;
+ // if not, they'll be set to None.
+ let mapY =
+ (
+ ~integralSumCacheFn=previousIntegralSum => None,
+ ~integralCacheFn=previousIntegral => None,
+ ~fn,
+ t: t,
+ )
+ : t => {
+ let yMappedDiscrete: DistTypes.discreteShape =
+ t.discrete
+ |> Discrete.T.mapY(~fn)
+ |> Discrete.updateIntegralSumCache(E.O.bind(t.discrete.integralSumCache, integralSumCacheFn))
+ |> Discrete.updateIntegralCache(E.O.bind(t.discrete.integralCache, integralCacheFn));
+
+ let yMappedContinuous: DistTypes.continuousShape =
+ t.continuous
+ |> Continuous.T.mapY(~fn)
+ |> Continuous.updateIntegralSumCache(E.O.bind(t.continuous.integralSumCache, integralSumCacheFn))
+ |> Continuous.updateIntegralCache(E.O.bind(t.continuous.integralCache, integralCacheFn));
+
+ {
+ discrete: yMappedDiscrete,
+ continuous: yMappedContinuous,
+ integralSumCache: E.O.bind(t.integralSumCache, integralSumCacheFn),
+ integralCache: E.O.bind(t.integralCache, integralCacheFn),
+ };
+ };
+
+ let mean = ({discrete, continuous}: t): float => {
+ let discreteMean = Discrete.T.mean(discrete);
+ let continuousMean = Continuous.T.mean(continuous);
+
+ // the combined mean is the weighted sum of the two:
+ let discreteIntegralSum = Discrete.T.Integral.sum(discrete);
+ let continuousIntegralSum = Continuous.T.Integral.sum(continuous);
+ let totalIntegralSum = discreteIntegralSum +. continuousIntegralSum;
+
+ (
+ discreteMean
+ *. discreteIntegralSum
+ +. continuousMean
+ *. continuousIntegralSum
+ )
+ /. totalIntegralSum;
+ };
+
+ let variance = ({discrete, continuous} as t: t): float => {
+ // the combined mean is the weighted sum of the two:
+ let discreteIntegralSum = Discrete.T.Integral.sum(discrete);
+ let continuousIntegralSum = Continuous.T.Integral.sum(continuous);
+ let totalIntegralSum = discreteIntegralSum +. continuousIntegralSum;
+
+ let getMeanOfSquares = ({discrete, continuous}: t) => {
+ let discreteMean =
+ discrete
+ |> Discrete.shapeMap(XYShape.Analysis.squareXYShape)
+ |> Discrete.T.mean;
+ let continuousMean =
+ continuous |> XYShape.Analysis.getMeanOfSquaresContinuousShape;
+ (
+ discreteMean
+ *. discreteIntegralSum
+ +. continuousMean
+ *. continuousIntegralSum
+ )
+ /. totalIntegralSum;
+ };
+
+ switch (discreteIntegralSum /. totalIntegralSum) {
+ | 1.0 => Discrete.T.variance(discrete)
+ | 0.0 => Continuous.T.variance(continuous)
+ | _ =>
+ XYShape.Analysis.getVarianceDangerously(t, mean, getMeanOfSquares)
+ };
+ };
+ });
+
+let combineAlgebraically =
+ (op: ExpressionTypes.algebraicOperation, t1: t, t2: t)
+ : t => {
+ // Discrete convolution can cause a huge increase in the number of samples,
+ // so we'll first downsample.
+
+ // An alternative (to be explored in the future) may be to first perform the full convolution and then to downsample the result;
+ // to use non-uniform fast Fourier transforms (for addition only), add web workers or gpu.js, etc. ...
+
+ // we have to figure out where to downsample, and how to effectively
+ //let downsampleIfTooLarge = (t: t) => {
+ // let sqtl = sqrt(float_of_int(totalLength(t)));
+ // sqtl > 10 ? T.downsample(int_of_float(sqtl), t) : t;
+ //};
+
+ let t1d = t1;
+ let t2d = t2;
+
+ // continuous (*) continuous => continuous, but also
+ // discrete (*) continuous => continuous (and vice versa). We have to take care of all combos and then combine them:
+ let ccConvResult =
+ Continuous.combineAlgebraically(
+ op,
+ t1.continuous,
+ t2.continuous,
+ );
+ let dcConvResult =
+ Continuous.combineAlgebraicallyWithDiscrete(
+ op,
+ t2.continuous,
+ t1.discrete,
+ );
+ let cdConvResult =
+ Continuous.combineAlgebraicallyWithDiscrete(
+ op,
+ t1.continuous,
+ t2.discrete,
+ );
+ let continuousConvResult =
+ Continuous.reduce((+.), [|ccConvResult, dcConvResult, cdConvResult|]);
+
+ // ... finally, discrete (*) discrete => discrete, obviously:
+ let discreteConvResult =
+ Discrete.combineAlgebraically(op, t1.discrete, t2.discrete);
+
+ let combinedIntegralSum =
+ Common.combineIntegralSums(
+ (a, b) => Some(a *. b),
+ t1.integralSumCache,
+ t2.integralSumCache,
+ );
+
+ {discrete: discreteConvResult, continuous: continuousConvResult, integralSumCache: combinedIntegralSum, integralCache: None};
+};
+
+let combinePointwise = (~integralSumCachesFn = (_, _) => None, ~integralCachesFn = (_, _) => None, fn, t1: t, t2: t): t => {
+ let reducedDiscrete =
+ [|t1, t2|]
+ |> E.A.fmap(toDiscrete)
+ |> E.A.O.concatSomes
+ |> Discrete.reduce(~integralSumCachesFn, ~integralCachesFn, fn);
+
+ let reducedContinuous =
+ [|t1, t2|]
+ |> E.A.fmap(toContinuous)
+ |> E.A.O.concatSomes
+ |> Continuous.reduce(~integralSumCachesFn, ~integralCachesFn, fn);
+
+ let combinedIntegralSum =
+ Common.combineIntegralSums(
+ integralSumCachesFn,
+ t1.integralSumCache,
+ t2.integralSumCache,
+ );
+
+ let combinedIntegral =
+ Common.combineIntegrals(
+ integralCachesFn,
+ t1.integralCache,
+ t2.integralCache,
+ );
+
+ make(~integralSumCache=combinedIntegralSum, ~integralCache=combinedIntegral, ~discrete=reducedDiscrete, ~continuous=reducedContinuous);
+};
diff --git a/packages/squiggle-old/src/distPlus/distribution/MixedShapeBuilder.re b/packages/squiggle-old/src/distPlus/distribution/MixedShapeBuilder.re
new file mode 100644
index 00000000..647fefdc
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/distribution/MixedShapeBuilder.re
@@ -0,0 +1,34 @@
+type assumption =
+ | ADDS_TO_1
+ | ADDS_TO_CORRECT_PROBABILITY;
+
+type assumptions = {
+ continuous: assumption,
+ discrete: assumption,
+ discreteProbabilityMass: option(float),
+};
+
+let buildSimple = (~continuous: option(DistTypes.continuousShape), ~discrete: option(DistTypes.discreteShape)): option(DistTypes.shape) => {
+ let continuous = continuous |> E.O.default(Continuous.make(~integralSumCache=Some(0.0), {xs: [||], ys: [||]}));
+ let discrete = discrete |> E.O.default(Discrete.make(~integralSumCache=Some(0.0), {xs: [||], ys: [||]}));
+ let cLength =
+ continuous
+ |> Continuous.getShape
+ |> XYShape.T.xs
+ |> E.A.length;
+ let dLength = discrete |> Discrete.getShape |> XYShape.T.xs |> E.A.length;
+ switch (cLength, dLength) {
+ | (0 | 1, 0) => None
+ | (0 | 1, _) => Some(Discrete(discrete))
+ | (_, 0) => Some(Continuous(continuous))
+ | (_, _) =>
+ let mixedDist =
+ Mixed.make(
+ ~integralSumCache=None,
+ ~integralCache=None,
+ ~continuous,
+ ~discrete,
+ );
+ Some(Mixed(mixedDist));
+ };
+};
\ No newline at end of file
diff --git a/packages/squiggle-old/src/distPlus/distribution/Shape.re b/packages/squiggle-old/src/distPlus/distribution/Shape.re
new file mode 100644
index 00000000..e249c216
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/distribution/Shape.re
@@ -0,0 +1,240 @@
+open Distributions;
+
+type t = DistTypes.shape;
+let mapToAll = ((fn1, fn2, fn3), t: t) =>
+ switch (t) {
+ | Mixed(m) => fn1(m)
+ | Discrete(m) => fn2(m)
+ | Continuous(m) => fn3(m)
+ };
+
+let fmap = ((fn1, fn2, fn3), t: t): t =>
+ switch (t) {
+ | Mixed(m) => Mixed(fn1(m))
+ | Discrete(m) => Discrete(fn2(m))
+ | Continuous(m) => Continuous(fn3(m))
+ };
+
+
+let toMixed =
+ mapToAll((
+ m => m,
+ d => Mixed.make(~integralSumCache=d.integralSumCache, ~integralCache=d.integralCache, ~discrete=d, ~continuous=Continuous.empty),
+ c => Mixed.make(~integralSumCache=c.integralSumCache, ~integralCache=c.integralCache, ~discrete=Discrete.empty, ~continuous=c),
+ ));
+
+let combineAlgebraically =
+ (op: ExpressionTypes.algebraicOperation, t1: t, t2: t): t => {
+
+ switch (t1, t2) {
+ | (Continuous(m1), Continuous(m2)) =>
+ Continuous.combineAlgebraically(op, m1, m2) |> Continuous.T.toShape;
+ | (Continuous(m1), Discrete(m2))
+ | (Discrete(m2), Continuous(m1)) =>
+ Continuous.combineAlgebraicallyWithDiscrete(op, m1, m2) |> Continuous.T.toShape
+ | (Discrete(m1), Discrete(m2)) =>
+ Discrete.combineAlgebraically(op, m1, m2) |> Discrete.T.toShape
+ | (m1, m2) =>
+ Mixed.combineAlgebraically(
+ op,
+ toMixed(m1),
+ toMixed(m2),
+ )
+ |> Mixed.T.toShape
+ };
+};
+
+let combinePointwise =
+ (~integralSumCachesFn: (float, float) => option(float) = (_, _) => None,
+ ~integralCachesFn: (DistTypes.continuousShape, DistTypes.continuousShape) => option(DistTypes.continuousShape) = (_, _) => None,
+ fn,
+ t1: t,
+ t2: t) =>
+ switch (t1, t2) {
+ | (Continuous(m1), Continuous(m2)) =>
+ DistTypes.Continuous(
+ Continuous.combinePointwise(~integralSumCachesFn, ~integralCachesFn, fn, m1, m2),
+ )
+ | (Discrete(m1), Discrete(m2)) =>
+ DistTypes.Discrete(
+ Discrete.combinePointwise(~integralSumCachesFn, ~integralCachesFn, fn, m1, m2),
+ )
+ | (m1, m2) =>
+ DistTypes.Mixed(
+ Mixed.combinePointwise(
+ ~integralSumCachesFn,
+ ~integralCachesFn,
+ fn,
+ toMixed(m1),
+ toMixed(m2),
+ ),
+ )
+ };
+
+module T =
+ Dist({
+ type t = DistTypes.shape;
+ type integral = DistTypes.continuousShape;
+
+ let xToY = (f: float) =>
+ mapToAll((
+ Mixed.T.xToY(f),
+ Discrete.T.xToY(f),
+ Continuous.T.xToY(f),
+ ));
+
+ let toShape = (t: t) => t;
+
+ let toContinuous = t => None;
+ let toDiscrete = t => None;
+
+ let downsample = (i, t) =>
+ fmap(
+ (
+ Mixed.T.downsample(i),
+ Discrete.T.downsample(i),
+ Continuous.T.downsample(i),
+ ),
+ t,
+ );
+
+ let truncate = (leftCutoff, rightCutoff, t): t =>
+ fmap(
+ (
+ Mixed.T.truncate(leftCutoff, rightCutoff),
+ Discrete.T.truncate(leftCutoff, rightCutoff),
+ Continuous.T.truncate(leftCutoff, rightCutoff),
+ ),
+ t,
+ );
+
+ let toDiscreteProbabilityMassFraction = t => 0.0;
+
+ let normalize =
+ fmap((
+ Mixed.T.normalize,
+ Discrete.T.normalize,
+ Continuous.T.normalize
+ ));
+
+ let updateIntegralCache = (integralCache, t: t): t =>
+ fmap((
+ Mixed.T.updateIntegralCache(integralCache),
+ Discrete.T.updateIntegralCache(integralCache),
+ Continuous.T.updateIntegralCache(integralCache),
+ ), t);
+
+ let toContinuous =
+ mapToAll((
+ Mixed.T.toContinuous,
+ Discrete.T.toContinuous,
+ Continuous.T.toContinuous,
+ ));
+ let toDiscrete =
+ mapToAll((
+ Mixed.T.toDiscrete,
+ Discrete.T.toDiscrete,
+ Continuous.T.toDiscrete,
+ ));
+
+ let toDiscreteProbabilityMassFraction =
+ mapToAll((
+ Mixed.T.toDiscreteProbabilityMassFraction,
+ Discrete.T.toDiscreteProbabilityMassFraction,
+ Continuous.T.toDiscreteProbabilityMassFraction,
+ ));
+
+ let minX = mapToAll((Mixed.T.minX, Discrete.T.minX, Continuous.T.minX));
+ let integral =
+ mapToAll((
+ Mixed.T.Integral.get,
+ Discrete.T.Integral.get,
+ Continuous.T.Integral.get,
+ ));
+ let integralEndY =
+ mapToAll((
+ Mixed.T.Integral.sum,
+ Discrete.T.Integral.sum,
+ Continuous.T.Integral.sum,
+ ));
+ let integralXtoY = (f) => {
+ mapToAll((
+ Mixed.T.Integral.xToY(f),
+ Discrete.T.Integral.xToY(f),
+ Continuous.T.Integral.xToY(f),
+ ));
+ };
+ let integralYtoX = (f) => {
+ mapToAll((
+ Mixed.T.Integral.yToX(f),
+ Discrete.T.Integral.yToX(f),
+ Continuous.T.Integral.yToX(f),
+ ));
+ };
+ let maxX = mapToAll((Mixed.T.maxX, Discrete.T.maxX, Continuous.T.maxX));
+ let mapY = (~integralSumCacheFn=previousIntegralSum => None, ~integralCacheFn=previousIntegral=>None, ~fn) =>{
+ fmap((
+ Mixed.T.mapY(~integralSumCacheFn, ~integralCacheFn, ~fn),
+ Discrete.T.mapY(~integralSumCacheFn, ~integralCacheFn, ~fn),
+ Continuous.T.mapY(~integralSumCacheFn, ~integralCacheFn, ~fn),
+ ));
+ }
+
+ let mean = (t: t): float =>
+ switch (t) {
+ | Mixed(m) => Mixed.T.mean(m)
+ | Discrete(m) => Discrete.T.mean(m)
+ | Continuous(m) => Continuous.T.mean(m)
+ };
+
+ let variance = (t: t): float =>
+ switch (t) {
+ | Mixed(m) => Mixed.T.variance(m)
+ | Discrete(m) => Discrete.T.variance(m)
+ | Continuous(m) => Continuous.T.variance(m)
+ };
+ });
+
+let pdf = (f: float, t: t) => {
+ let mixedPoint: DistTypes.mixedPoint = T.xToY(f, t);
+ mixedPoint.continuous +. mixedPoint.discrete;
+};
+
+let inv = T.Integral.yToX;
+let cdf = T.Integral.xToY;
+
+let doN = (n, fn) => {
+ let items = Belt.Array.make(n, 0.0);
+ for (x in 0 to n - 1) {
+ let _ = Belt.Array.set(items, x, fn());
+ ();
+ };
+ items;
+};
+
+let sample = (t: t): float => {
+ let randomItem = Random.float(1.);
+ let bar = t |> T.Integral.yToX(randomItem);
+ bar;
+};
+
+let isFloat = (t:t) => switch(t){
+| Discrete({xyShape: {xs: [|_|], ys: [|1.0|]}}) => true
+| _ => false
+}
+
+let sampleNRendered = (n, dist) => {
+ let integralCache = T.Integral.get(dist);
+ let distWithUpdatedIntegralCache = T.updateIntegralCache(Some(integralCache), dist);
+
+ doN(n, () => sample(distWithUpdatedIntegralCache));
+};
+
+let operate = (distToFloatOp: ExpressionTypes.distToFloatOperation, s): float =>
+ switch (distToFloatOp) {
+ | `Pdf(f) => pdf(f, s)
+ | `Cdf(f) => pdf(f, s)
+ | `Inv(f) => inv(f, s)
+ | `Sample => sample(s)
+ | `Mean => T.mean(s)
+ };
diff --git a/packages/squiggle-old/src/distPlus/distribution/TimeTypes.res b/packages/squiggle-old/src/distPlus/distribution/TimeTypes.res
new file mode 100644
index 00000000..5f1e582b
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/distribution/TimeTypes.res
@@ -0,0 +1,83 @@
+type timeUnit = [
+ | #days
+ | #hours
+ | #milliseconds
+ | #minutes
+ | #months
+ | #quarters
+ | #seconds
+ | #weeks
+ | #years
+]
+
+type timeVector = {
+ zero: MomentRe.Moment.t,
+ unit: timeUnit,
+}
+
+type timePoint = {
+ timeVector: timeVector,
+ value: float,
+}
+
+module TimeUnit = {
+ let toString = (timeUnit: timeUnit) =>
+ switch timeUnit {
+ | #days => "days"
+ | #hours => "hours"
+ | #milliseconds => "milliseconds"
+ | #minutes => "minutes"
+ | #months => "months"
+ | #quarters => "quarters"
+ | #seconds => "seconds"
+ | #weeks => "weeks"
+ | #years => "years"
+ }
+
+ let ofString = (timeUnit: string) =>
+ switch timeUnit {
+ | "days" => #days
+ | "hours" => #hours
+ | "milliseconds" => #milliseconds
+ | "minutes" => #minutes
+ | "months" => #months
+ | "quarters" => #quarters
+ | "seconds" => #seconds
+ | "weeks" => #weeks
+ | "years" => #years
+ | _ => Js.Exn.raiseError("TimeUnit is unknown")
+ }
+}
+
+module TimePoint = {
+ let fromTimeVector = (timeVector, value): timePoint => {timeVector: timeVector, value: value}
+
+ let toMoment = (timePoint: timePoint) =>
+ timePoint.timeVector.zero |> MomentRe.Moment.add(
+ ~duration=MomentRe.duration(timePoint.value, timePoint.timeVector.unit),
+ )
+
+ let fromMoment = (timeVector: timeVector, moment: MomentRe.Moment.t) =>
+ MomentRe.diff(timeVector.zero, moment, timeVector.unit)
+}
+
+type timeInVector =
+ | Time(MomentRe.Moment.t)
+ | XValue(float)
+
+module RelativeTimePoint = {
+ let toTime = (timeVector: timeVector, timeInVector: timeInVector) =>
+ switch timeInVector {
+ | Time(r) => r
+ | XValue(r) =>
+ timeVector.zero |> MomentRe.Moment.add(~duration=MomentRe.duration(r, timeVector.unit))
+ }
+
+ let _timeToX = (time, timeStart, timeUnit) => MomentRe.diff(time, timeStart, timeUnit)
+
+ let toXValue = (timeVector: timeVector, timeInVector: timeInVector) =>
+ switch timeInVector {
+ | Time(r) => _timeToX(r, timeVector.zero, timeVector.unit)
+ | XValue(r) => r
+ }
+}
diff --git a/packages/squiggle-old/src/distPlus/distribution/XYShape.re b/packages/squiggle-old/src/distPlus/distribution/XYShape.re
new file mode 100644
index 00000000..92cffe60
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/distribution/XYShape.re
@@ -0,0 +1,504 @@
+open DistTypes;
+
+let interpolate =
+ (xMin: float, xMax: float, yMin: float, yMax: float, xIntended: float)
+ : float => {
+ let minProportion = (xMax -. xIntended) /. (xMax -. xMin);
+ let maxProportion = (xIntended -. xMin) /. (xMax -. xMin);
+ yMin *. minProportion +. yMax *. maxProportion;
+};
+
+// TODO: Make sure that shapes cannot be empty.
+let extImp = E.O.toExt("Tried to perform an operation on an empty XYShape.");
+
+module T = {
+ type t = xyShape;
+ let toXyShape = (t: t): xyShape => t;
+ type ts = array(xyShape);
+ let xs = (t: t) => t.xs;
+ let ys = (t: t) => t.ys;
+ let length = (t: t) => E.A.length(t.xs);
+ let empty = {xs: [||], ys: [||]};
+ let isEmpty = (t: t) => length(t) == 0;
+ let minX = (t: t) => t |> xs |> E.A.Sorted.min |> extImp;
+ let maxX = (t: t) => t |> xs |> E.A.Sorted.max |> extImp;
+ let firstY = (t: t) => t |> ys |> E.A.first |> extImp;
+ let lastY = (t: t) => t |> ys |> E.A.last |> extImp;
+ let xTotalRange = (t: t) => maxX(t) -. minX(t);
+ let mapX = (fn, t: t): t => {xs: E.A.fmap(fn, t.xs), ys: t.ys};
+ let mapY = (fn, t: t): t => {xs: t.xs, ys: E.A.fmap(fn, t.ys)};
+ let zip = ({xs, ys}: t) => Belt.Array.zip(xs, ys);
+ let fromArray = ((xs, ys)): t => {xs, ys};
+ let fromArrays = (xs, ys): t => {xs, ys};
+ let accumulateYs = (fn, p: t) => {
+ fromArray((p.xs, E.A.accumulate(fn, p.ys)));
+ };
+ let concat = (t1: t, t2: t) => {
+ let cxs = Array.concat([t1.xs, t2.xs]);
+ let cys = Array.concat([t1.ys, t2.ys]);
+ {xs: cxs, ys: cys};
+ };
+ let fromZippedArray = (pairs: array((float, float))): t =>
+ pairs |> Belt.Array.unzip |> fromArray;
+ let equallyDividedXs = (t: t, newLength) => {
+ E.A.Floats.range(minX(t), maxX(t), newLength);
+ };
+ let toJs = (t: t) => {
+ {"xs": t.xs, "ys": t.ys};
+ };
+};
+
+module Ts = {
+ type t = T.ts;
+ let minX = (t: t) => t |> E.A.fmap(T.minX) |> E.A.min |> extImp;
+ let maxX = (t: t) => t |> E.A.fmap(T.maxX) |> E.A.max |> extImp;
+ let equallyDividedXs = (t: t, newLength) => {
+ E.A.Floats.range(minX(t), maxX(t), newLength);
+ };
+ let allXs = (t: t) => t |> E.A.fmap(T.xs) |> E.A.Sorted.concatMany;
+};
+
+module Pairs = {
+ let x = fst;
+ let y = snd;
+ let first = (t: T.t) => (T.minX(t), T.firstY(t));
+ let last = (t: T.t) => (T.maxX(t), T.lastY(t));
+
+ let getBy = (t: T.t, fn) => t |> T.zip |> E.A.getBy(_, fn);
+
+ let firstAtOrBeforeXValue = (xValue, t: T.t) => {
+ let zipped = T.zip(t);
+ let firstIndex =
+ zipped |> Belt.Array.getIndexBy(_, ((x, _)) => x > xValue);
+ let previousIndex =
+ switch (firstIndex) {
+ | None => Some(Array.length(zipped) - 1)
+ | Some(0) => None
+ | Some(n) => Some(n - 1)
+ };
+ previousIndex |> Belt.Option.flatMap(_, Belt.Array.get(zipped));
+ };
+};
+
+module YtoX = {
+ let linear = (y: float, t: T.t): float => {
+ let firstHigherIndex =
+ E.A.Sorted.binarySearchFirstElementGreaterIndex(T.ys(t), y);
+ let foundX =
+ switch (firstHigherIndex) {
+ | `overMax => T.maxX(t)
+ | `underMin => T.minX(t)
+ | `firstHigher(firstHigherIndex) =>
+ let lowerOrEqualIndex =
+ firstHigherIndex - 1 < 0 ? 0 : firstHigherIndex - 1;
+ let (_xs, _ys) = (T.xs(t), T.ys(t));
+ let needsInterpolation = _ys[lowerOrEqualIndex] != y;
+ if (needsInterpolation) {
+ interpolate(
+ _ys[lowerOrEqualIndex],
+ _ys[firstHigherIndex],
+ _xs[lowerOrEqualIndex],
+ _xs[firstHigherIndex],
+ y,
+ );
+ } else {
+ _xs[lowerOrEqualIndex];
+ };
+ };
+ foundX;
+ };
+};
+
+module XtoY = {
+ let stepwiseIncremental = (f, t: T.t) =>
+ Pairs.firstAtOrBeforeXValue(f, t) |> E.O.fmap(Pairs.y);
+
+ let stepwiseIfAtX = (f: float, t: T.t) => {
+ Pairs.getBy(t, ((x: float, _)) => {x == f}) |> E.O.fmap(Pairs.y);
+ };
+
+ let linear = (x: float, t: T.t): float => {
+ let firstHigherIndex =
+ E.A.Sorted.binarySearchFirstElementGreaterIndex(T.xs(t), x);
+ let n =
+ switch (firstHigherIndex) {
+ | `overMax => T.lastY(t)
+ | `underMin => T.firstY(t)
+ | `firstHigher(firstHigherIndex) =>
+ let lowerOrEqualIndex =
+ firstHigherIndex - 1 < 0 ? 0 : firstHigherIndex - 1;
+ let (_xs, _ys) = (T.xs(t), T.ys(t));
+ let needsInterpolation = _xs[lowerOrEqualIndex] != x;
+ if (needsInterpolation) {
+ interpolate(
+ _xs[lowerOrEqualIndex],
+ _xs[firstHigherIndex],
+ _ys[lowerOrEqualIndex],
+ _ys[firstHigherIndex],
+ x,
+ );
+ } else {
+ _ys[lowerOrEqualIndex];
+ };
+ };
+ n;
+ };
+
+ /* Returns a between-points-interpolating function that can be used with PointwiseCombination.combine.
+ Interpolation can either be stepwise (using the value on the left) or linear. Extrapolation can be `UseZero or `UseOutermostPoints. */
+ let continuousInterpolator = (interpolation: DistTypes.interpolationStrategy, extrapolation: DistTypes.extrapolationStrategy): interpolator => {
+ switch (interpolation, extrapolation) {
+ | (`Linear, `UseZero) => (t: T.t, leftIndex: int, x: float) => {
+ if (leftIndex < 0) {
+ 0.0
+ } else if (leftIndex >= T.length(t) - 1) {
+ 0.0
+ } else {
+ let x1 = t.xs[leftIndex];
+ let x2 = t.xs[leftIndex + 1];
+ let y1 = t.ys[leftIndex];
+ let y2 = t.ys[leftIndex + 1];
+ let fraction = (x -. x1) /. (x2 -. x1);
+ y1 *. (1. -. fraction) +. y2 *. fraction;
+ };
+ }
+ | (`Linear, `UseOutermostPoints) => (t: T.t, leftIndex: int, x: float) => {
+ if (leftIndex < 0) {
+ t.ys[0];
+ } else if (leftIndex >= T.length(t) - 1) {
+ t.ys[T.length(t) - 1]
+ } else {
+ let x1 = t.xs[leftIndex];
+ let x2 = t.xs[leftIndex + 1];
+ let y1 = t.ys[leftIndex];
+ let y2 = t.ys[leftIndex + 1];
+ let fraction = (x -. x1) /. (x2 -. x1);
+ y1 *. (1. -. fraction) +. y2 *. fraction;
+ };
+ }
+ | (`Stepwise, `UseZero) => (t: T.t, leftIndex: int, x: float) => {
+ if (leftIndex < 0) {
+ 0.0
+ } else if (leftIndex >= T.length(t) - 1) {
+ 0.0
+ } else {
+ t.ys[leftIndex];
+ }
+ }
+ | (`Stepwise, `UseOutermostPoints) => (t: T.t, leftIndex: int, x: float) => {
+ if (leftIndex < 0) {
+ t.ys[0];
+ } else if (leftIndex >= T.length(t) - 1) {
+ t.ys[T.length(t) - 1]
+ } else {
+ t.ys[leftIndex];
+ }
+ }
+ }
+ };
+
+ /* Returns a between-points-interpolating function that can be used with PointwiseCombination.combine.
+ For discrete distributions, the probability density between points is zero, so we just return zero here. */
+ let discreteInterpolator: interpolator = (t: T.t, leftIndex: int, x: float) => 0.0;
+};
+
+module XsConversion = {
+ let _replaceWithXs = (newXs: array(float), t: T.t): T.t => {
+ let newYs = Belt.Array.map(newXs, XtoY.linear(_, t));
+ {xs: newXs, ys: newYs};
+ };
+
+ let equallyDivideXByMass = (newLength: int, integral: T.t) =>
+ E.A.Floats.range(0.0, 1.0, newLength)
+ |> E.A.fmap(YtoX.linear(_, integral));
+
+ let proportionEquallyOverX = (newLength: int, t: T.t): T.t => {
+ T.equallyDividedXs(t, newLength) |> _replaceWithXs(_, t);
+ };
+
+ let proportionByProbabilityMass =
+ (newLength: int, integral: T.t, t: T.t): T.t => {
+ integral
+ |> equallyDivideXByMass(newLength) // creates a new set of xs at evenly spaced percentiles
+ |> _replaceWithXs(_, t); // linearly interpolates new ys for the new xs
+ };
+};
+
+module Zipped = {
+ type zipped = array((float, float));
+ let compareYs = ((_, y1), (_, y2)) => y1 > y2 ? 1 : 0;
+ let compareXs = ((x1, _), (x2, _)) => x1 > x2 ? 1 : 0;
+ let sortByY = (t: zipped) => t |> E.A.stableSortBy(_, compareYs);
+ let sortByX = (t: zipped) => t |> E.A.stableSortBy(_, compareXs);
+ let filterByX = (testFn: (float => bool), t: zipped) => t |> E.A.filter(((x, _)) => testFn(x));
+};
+
+module PointwiseCombination = {
+
+ // t1Interpolator and t2Interpolator are functions from XYShape.XtoY, e.g. linearBetweenPointsExtrapolateFlat.
+ let combine = [%raw {| // : (float => float => float, T.t, T.t, bool) => T.t
+ // This function combines two xyShapes by looping through both of them simultaneously.
+ // It always moves on to the next smallest x, whether that's in the first or second input's xs,
+ // and interpolates the value on the other side, thus accumulating xs and ys.
+ // This is written in raw JS because this can still be a bottleneck, and using refs for the i and j indices is quite painful.
+
+ function(fn, interpolator, t1, t2) {
+ let t1n = t1.xs.length;
+ let t2n = t2.xs.length;
+ let outX = [];
+ let outY = [];
+ let i = -1;
+ let j = -1;
+
+ while (i <= t1n - 1 && j <= t2n - 1) {
+ let x, ya, yb;
+ if (j == t2n - 1 && i < t1n - 1 ||
+ t1.xs[i+1] < t2.xs[j+1]) { // if a has to catch up to b, or if b is already done
+ i++;
+
+ x = t1.xs[i];
+ ya = t1.ys[i];
+
+ yb = interpolator(t2, j, x);
+ } else if (i == t1n - 1 && j < t2n - 1 ||
+ t1.xs[i+1] > t2.xs[j+1]) { // if b has to catch up to a, or if a is already done
+ j++;
+
+ x = t2.xs[j];
+ yb = t2.ys[j];
+
+ ya = interpolator(t1, i, x);
+ } else if (i < t1n - 1 && j < t2n && t1.xs[i+1] === t2.xs[j+1]) { // if they happen to be equal, move both ahead
+ i++;
+ j++;
+ x = t1.xs[i];
+ ya = t1.ys[i];
+ yb = t2.ys[j];
+ } else if (i === t1n - 1 && j === t2n - 1) {
+ // finished!
+ i = t1n;
+ j = t2n;
+ continue;
+ } else {
+ console.log("Error!", i, j);
+ }
+
+ outX.push(x);
+ outY.push(fn(ya, yb));
+ }
+
+ return {xs: outX, ys: outY};
+ }
+ |}];
+
+ let combineEvenXs =
+ (
+ ~fn,
+ ~xToYSelection,
+ sampleCount,
+ t1: T.t,
+ t2: T.t,
+ ) => {
+
+ switch ((E.A.length(t1.xs), E.A.length(t2.xs))) {
+ | (0, 0) => T.empty
+ | (0, _) => t2
+ | (_, 0) => t1
+ | (_, _) => {
+ let allXs = Ts.equallyDividedXs([|t1, t2|], sampleCount);
+
+ let allYs = allXs |> E.A.fmap(x => fn(xToYSelection(x, t1), xToYSelection(x, t2)));
+
+ T.fromArrays(allXs, allYs);
+ }
+ }
+ };
+
+ // TODO: I'd bet this is pretty slow. Maybe it would be faster to intersperse Xs and Ys separately.
+ let intersperse = (t1: T.t, t2: T.t) => {
+ E.A.intersperse(T.zip(t1), T.zip(t2)) |> T.fromZippedArray;
+ };
+};
+
+// I'm really not sure this part is actually what we want at this point.
+module Range = {
+ // ((lastX, lastY), (nextX, nextY))
+ type zippedRange = ((float, float), (float, float));
+
+ let toT = T.fromZippedArray;
+ let nextX = ((_, (nextX, _)): zippedRange) => nextX;
+
+ let rangePointAssumingSteps = (((_, lastY), (nextX, _)): zippedRange) => (
+ nextX,
+ lastY,
+ );
+
+ let rangeAreaAssumingTriangles =
+ (((lastX, lastY), (nextX, nextY)): zippedRange) =>
+ (nextX -. lastX) *. (lastY +. nextY) /. 2.;
+
+ //Todo: figure out how to without making new array.
+ let rangeAreaAssumingTrapezoids =
+ (((lastX, lastY), (nextX, nextY)): zippedRange) =>
+ (nextX -. lastX)
+ *. (Js.Math.min_float(lastY, nextY) +. (lastY +. nextY) /. 2.);
+
+ let delta_y_over_delta_x =
+ (((lastX, lastY), (nextX, nextY)): zippedRange) =>
+ (nextY -. lastY) /. (nextX -. lastX);
+
+ let mapYsBasedOnRanges = (fn, t) =>
+ Belt.Array.zip(t.xs, t.ys)
+ |> E.A.toRanges
+ |> E.R.toOption
+ |> E.O.fmap(r => r |> Belt.Array.map(_, r => (nextX(r), fn(r))));
+
+ // This code is messy, in part because I'm trying to make things easy on garbage collection here.
+ // It's using triangles instead of trapezoids right now.
+ let integrateWithTriangles = ({xs, ys}) => {
+ let length = E.A.length(xs);
+ let cumulativeY = Belt.Array.make(length, 0.0);
+ for (x in 0 to E.A.length(xs) - 2) {
+ let _ =
+ Belt.Array.set(
+ cumulativeY,
+ x + 1,
+ (xs[x + 1] -. xs[x]) // dx
+ *. ((ys[x] +. ys[x + 1]) /. 2.) // (1/2) * (avgY)
+ +. cumulativeY[x],
+ );
+ ();
+ };
+ Some({xs, ys: cumulativeY});
+ };
+
+ let derivative = mapYsBasedOnRanges(delta_y_over_delta_x);
+
+ let stepwiseToLinear = ({xs, ys}: T.t): T.t => {
+ // adds points at the bottom of each step.
+ let length = E.A.length(xs);
+ let newXs: array(float) = Belt.Array.makeUninitializedUnsafe(2 * length);
+ let newYs: array(float) = Belt.Array.makeUninitializedUnsafe(2 * length);
+
+ Belt.Array.set(newXs, 0, xs[0] -. epsilon_float) |> ignore;
+ Belt.Array.set(newYs, 0, 0.) |> ignore;
+ Belt.Array.set(newXs, 1, xs[0]) |> ignore;
+ Belt.Array.set(newYs, 1, ys[0]) |> ignore;
+
+ for (i in 1 to E.A.length(xs) - 1) {
+ Belt.Array.set(newXs, i * 2, xs[i] -. epsilon_float) |> ignore;
+ Belt.Array.set(newYs, i * 2, ys[i-1]) |> ignore;
+ Belt.Array.set(newXs, i * 2 + 1, xs[i]) |> ignore;
+ Belt.Array.set(newYs, i * 2 + 1, ys[i]) |> ignore;
+ ();
+ };
+
+ {xs: newXs, ys: newYs};
+ };
+
+ // TODO: I think this isn't needed by any functions anymore.
+ let stepsToContinuous = t => {
+ // TODO: It would be nicer if this the diff didn't change the first element, and also maybe if there were a more elegant way of doing this.
+ let diff = T.xTotalRange(t) |> (r => r *. 0.00001);
+ let items =
+ switch (E.A.toRanges(Belt.Array.zip(t.xs, t.ys))) {
+ | Ok(items) =>
+ Some(
+ items
+ |> Belt.Array.map(_, rangePointAssumingSteps)
+ |> T.fromZippedArray
+ |> PointwiseCombination.intersperse(t |> T.mapX(e => e +. diff)),
+ )
+ | _ => Some(t)
+ };
+ let first = items |> E.O.fmap(T.zip) |> E.O.bind(_, E.A.get(_, 0));
+ switch (items, first) {
+ | (Some(items), Some((0.0, _))) => Some(items)
+ | (Some(items), Some((firstX, _))) =>
+ let all = E.A.append([|(firstX, 0.0)|], items |> T.zip);
+ all |> T.fromZippedArray |> E.O.some;
+ | _ => None
+ };
+ };
+};
+
+let pointLogScore = (prediction, answer) =>
+ switch (answer) {
+ | 0. => 0.0
+ | answer => answer *. Js.Math.log2(Js.Math.abs_float(prediction /. answer))
+ };
+
+let logScorePoint = (sampleCount, t1, t2) =>
+ PointwiseCombination.combineEvenXs(
+ ~fn=pointLogScore,
+ ~xToYSelection=XtoY.linear,
+ sampleCount,
+ t1,
+ t2,
+ )
+ |> Range.integrateWithTriangles
+ |> E.O.fmap(T.accumulateYs((+.)))
+ |> E.O.fmap(Pairs.last)
+ |> E.O.fmap(Pairs.y);
+
+module Analysis = {
+ let integrateContinuousShape =
+ (
+ ~indefiniteIntegralStepwise=(p, h1) => h1 *. p,
+ ~indefiniteIntegralLinear=(p, a, b) => a *. p +. b *. p ** 2.0 /. 2.0,
+ t: DistTypes.continuousShape,
+ )
+ : float => {
+ let xs = t.xyShape.xs;
+ let ys = t.xyShape.ys;
+
+ E.A.reducei(
+ xs,
+ 0.0,
+ (acc, _x, i) => {
+ let areaUnderIntegral =
+ // TODO Take this switch statement out of the loop body
+ switch (t.interpolation, i) {
+ | (_, 0) => 0.0
+ | (`Stepwise, _) =>
+ indefiniteIntegralStepwise(xs[i], ys[i - 1])
+ -. indefiniteIntegralStepwise(xs[i - 1], ys[i - 1])
+ | (`Linear, _) =>
+ let x1 = xs[i - 1];
+ let x2 = xs[i];
+ if (x1 == x2) {
+ 0.0
+ } else {
+ let h1 = ys[i - 1];
+ let h2 = ys[i];
+ let b = (h1 -. h2) /. (x1 -. x2);
+ let a = h1 -. b *. x1;
+ indefiniteIntegralLinear(x2, a, b)
+ -. indefiniteIntegralLinear(x1, a, b);
+ };
+ };
+ acc +. areaUnderIntegral;
+ },
+ );
+ };
+
+ let getMeanOfSquaresContinuousShape = (t: DistTypes.continuousShape) => {
+ let indefiniteIntegralLinear = (p, a, b) =>
+ a *. p ** 3.0 /. 3.0 +. b *. p ** 4.0 /. 4.0;
+ let indefiniteIntegralStepwise = (p, h1) => h1 *. p ** 3.0 /. 3.0;
+ integrateContinuousShape(
+ ~indefiniteIntegralStepwise,
+ ~indefiniteIntegralLinear,
+ t,
+ );
+ };
+
+ let getVarianceDangerously =
+ (t: 't, mean: 't => float, getMeanOfSquares: 't => float): float => {
+ let meanSquared = mean(t) ** 2.0;
+ let meanOfSquares = getMeanOfSquares(t);
+ meanOfSquares -. meanSquared;
+ };
+
+ let squareXYShape = T.mapX(x => x ** 2.0)
+};
diff --git a/packages/squiggle-old/src/distPlus/expressionTree/ExpressionTree.re b/packages/squiggle-old/src/distPlus/expressionTree/ExpressionTree.re
new file mode 100644
index 00000000..ca57c14f
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/expressionTree/ExpressionTree.re
@@ -0,0 +1,21 @@
+open ExpressionTypes.ExpressionTree;
+
+let toString = ExpressionTreeBasic.toString;
+let envs = (samplingInputs, environment) => {
+ {samplingInputs, environment, evaluateNode: ExpressionTreeEvaluator.toLeaf};
+};
+
+let toLeaf = (samplingInputs, environment, node: node) =>
+ ExpressionTreeEvaluator.toLeaf(envs(samplingInputs, environment), node);
+let toShape = (samplingInputs, environment, node: node) => {
+ switch (toLeaf(samplingInputs, environment, node)) {
+ | Ok(`RenderedDist(shape)) => Ok(shape)
+ | Ok(_) => Error("Rendering failed.")
+ | Error(e) => Error(e)
+ };
+};
+
+let runFunction = (samplingInputs, environment, inputs, fn: PTypes.Function.t) => {
+ let params = envs(samplingInputs, environment);
+ PTypes.Function.run(params, inputs, fn);
+};
diff --git a/packages/squiggle-old/src/distPlus/expressionTree/ExpressionTreeBasic.re b/packages/squiggle-old/src/distPlus/expressionTree/ExpressionTreeBasic.re
new file mode 100644
index 00000000..27d5aab4
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/expressionTree/ExpressionTreeBasic.re
@@ -0,0 +1,35 @@
+open ExpressionTypes.ExpressionTree;
+
+let rec toString: node => string =
+ fun
+ | `SymbolicDist(d) => SymbolicDist.T.toString(d)
+ | `RenderedDist(_) => "[renderedShape]"
+ | `AlgebraicCombination(op, t1, t2) =>
+ Operation.Algebraic.format(op, toString(t1), toString(t2))
+ | `PointwiseCombination(op, t1, t2) =>
+ Operation.Pointwise.format(op, toString(t1), toString(t2))
+ | `Normalize(t) => "normalize(k" ++ toString(t) ++ ")"
+ | `Truncate(lc, rc, t) =>
+ Operation.T.truncateToString(lc, rc, toString(t))
+ | `Render(t) => toString(t)
+ | `Symbol(t) => "Symbol: " ++ t
+ | `FunctionCall(name, args) =>
+ "[Function call: ("
+ ++ name
+ ++ (args |> E.A.fmap(toString) |> Js.String.concatMany(_, ","))
+ ++ ")]"
+ | `Function(args, internal) =>
+ "[Function: ("
+ ++ (args |> Js.String.concatMany(_, ","))
+ ++ toString(internal)
+ ++ ")]"
+ | `Array(a) =>
+ "[" ++ (a |> E.A.fmap(toString) |> Js.String.concatMany(_, ",")) ++ "]"
+ | `Hash(h) =>
+ "{"
+ ++ (
+ h
+ |> E.A.fmap(((name, value)) => name ++ ":" ++ toString(value))
+ |> Js.String.concatMany(_, ",")
+ )
+ ++ "}";
diff --git a/packages/squiggle-old/src/distPlus/expressionTree/ExpressionTreeEvaluator.re b/packages/squiggle-old/src/distPlus/expressionTree/ExpressionTreeEvaluator.re
new file mode 100644
index 00000000..debdc1e1
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/expressionTree/ExpressionTreeEvaluator.re
@@ -0,0 +1,332 @@
+open ExpressionTypes;
+open ExpressionTypes.ExpressionTree;
+
+type t = node;
+type tResult = node => result(node, string);
+
+/* Given two random variables A and B, this returns the distribution
+ of a new variable that is the result of the operation on A and B.
+ For instance, normal(0, 1) + normal(1, 1) -> normal(1, 2).
+ In general, this is implemented via convolution. */
+module AlgebraicCombination = {
+ let tryAnalyticalSimplification = (operation, t1: t, t2: t) =>
+ switch (operation, t1, t2) {
+ | (operation, `SymbolicDist(d1), `SymbolicDist(d2)) =>
+ switch (SymbolicDist.T.tryAnalyticalSimplification(d1, d2, operation)) {
+ | `AnalyticalSolution(symbolicDist) => Ok(`SymbolicDist(symbolicDist))
+ | `Error(er) => Error(er)
+ | `NoSolution => Ok(`AlgebraicCombination((operation, t1, t2)))
+ }
+ | _ => Ok(`AlgebraicCombination((operation, t1, t2)))
+ };
+
+ let combinationByRendering =
+ (evaluationParams, algebraicOp, t1: node, t2: node)
+ : result(node, string) => {
+ E.R.merge(
+ Render.ensureIsRenderedAndGetShape(evaluationParams, t1),
+ Render.ensureIsRenderedAndGetShape(evaluationParams, t2),
+ )
+ |> E.R.fmap(((a, b)) =>
+ `RenderedDist(Shape.combineAlgebraically(algebraicOp, a, b))
+ );
+ };
+
+ let nodeScore: node => int =
+ fun
+ | `SymbolicDist(`Float(_)) => 1
+ | `SymbolicDist(_) => 1000
+ | `RenderedDist(Discrete(m)) => m.xyShape |> XYShape.T.length
+ | `RenderedDist(Mixed(_)) => 1000
+ | `RenderedDist(Continuous(_)) => 1000
+ | _ => 1000;
+
+ let choose = (t1: node, t2: node) => {
+ nodeScore(t1) * nodeScore(t2) > 10000 ? `Sampling : `Analytical;
+ };
+
+ let combine =
+ (evaluationParams, algebraicOp, t1: node, t2: node)
+ : result(node, string) => {
+ E.R.merge(
+ PTypes.SamplingDistribution.renderIfIsNotSamplingDistribution(
+ evaluationParams,
+ t1,
+ ),
+ PTypes.SamplingDistribution.renderIfIsNotSamplingDistribution(
+ evaluationParams,
+ t2,
+ ),
+ )
+ |> E.R.bind(_, ((a, b)) =>
+ switch (choose(a, b)) {
+ | `Sampling =>
+ PTypes.SamplingDistribution.combineShapesUsingSampling(
+ evaluationParams,
+ algebraicOp,
+ a,
+ b,
+ )
+ | `Analytical =>
+ combinationByRendering(evaluationParams, algebraicOp, a, b)
+ }
+ );
+ };
+
+ let operationToLeaf =
+ (
+ evaluationParams: evaluationParams,
+ algebraicOp: ExpressionTypes.algebraicOperation,
+ t1: t,
+ t2: t,
+ )
+ : result(node, string) =>
+ algebraicOp
+ |> tryAnalyticalSimplification(_, t1, t2)
+ |> E.R.bind(
+ _,
+ fun
+ | `SymbolicDist(_) as t => Ok(t)
+ | _ => combine(evaluationParams, algebraicOp, t1, t2),
+ );
+};
+
+module PointwiseCombination = {
+ let pointwiseAdd = (evaluationParams: evaluationParams, t1: t, t2: t) => {
+ switch (
+ Render.render(evaluationParams, t1),
+ Render.render(evaluationParams, t2),
+ ) {
+ | (Ok(`RenderedDist(rs1)), Ok(`RenderedDist(rs2))) =>
+ Ok(
+ `RenderedDist(
+ Shape.combinePointwise(
+ ~integralSumCachesFn=(a, b) => Some(a +. b),
+ ~integralCachesFn=
+ (a, b) =>
+ Some(
+ Continuous.combinePointwise(
+ ~distributionType=`CDF,
+ (+.),
+ a,
+ b,
+ ),
+ ),
+ (+.),
+ rs1,
+ rs2,
+ ),
+ ),
+ )
+ | (Error(e1), _) => Error(e1)
+ | (_, Error(e2)) => Error(e2)
+ | _ => Error("Pointwise combination: rendering failed.")
+ };
+ };
+
+ let pointwiseCombine =
+ (fn, evaluationParams: evaluationParams, t1: t, t2: t) => {
+ // TODO: construct a function that we can easily sample from, to construct
+ // a RenderedDist. Use the xMin and xMax of the rendered shapes to tell the sampling function where to look.
+ // TODO: This should work for symbolic distributions too!
+ switch (
+ Render.render(evaluationParams, t1),
+ Render.render(evaluationParams, t2),
+ ) {
+ | (Ok(`RenderedDist(rs1)), Ok(`RenderedDist(rs2))) =>
+ Ok(`RenderedDist(Shape.combinePointwise(fn, rs1, rs2)))
+ | (Error(e1), _) => Error(e1)
+ | (_, Error(e2)) => Error(e2)
+ | _ => Error("Pointwise combination: rendering failed.")
+ };
+ };
+
+ let operationToLeaf =
+ (
+ evaluationParams: evaluationParams,
+ pointwiseOp: pointwiseOperation,
+ t1: t,
+ t2: t,
+ ) => {
+ switch (pointwiseOp) {
+ | `Add => pointwiseAdd(evaluationParams, t1, t2)
+ | `Multiply => pointwiseCombine(( *. ), evaluationParams, t1, t2)
+ | `Exponentiate => pointwiseCombine(( ** ), evaluationParams, t1, t2)
+ };
+ };
+};
+
+module Truncate = {
+ let trySimplification = (leftCutoff, rightCutoff, t): simplificationResult => {
+ switch (leftCutoff, rightCutoff, t) {
+ | (None, None, t) => `Solution(t)
+ | (Some(lc), Some(rc), _) when lc > rc =>
+ `Error(
+ "Left truncation bound must be smaller than right truncation bound.",
+ )
+ | (lc, rc, `SymbolicDist(`Uniform(u))) =>
+ `Solution(
+ `SymbolicDist(`Uniform(SymbolicDist.Uniform.truncate(lc, rc, u))),
+ )
+ | _ => `NoSolution
+ };
+ };
+
+ let truncateAsShape =
+ (evaluationParams: evaluationParams, leftCutoff, rightCutoff, t) => {
+ // TODO: use named args for xMin/xMax in renderToShape; if we're lucky we can at least get the tail
+ // of a distribution we otherwise wouldn't get at all
+ switch (Render.ensureIsRendered(evaluationParams, t)) {
+ | Ok(`RenderedDist(rs)) =>
+ Ok(`RenderedDist(Shape.T.truncate(leftCutoff, rightCutoff, rs)))
+ | Error(e) => Error(e)
+ | _ => Error("Could not truncate distribution.")
+ };
+ };
+
+ let operationToLeaf =
+ (
+ evaluationParams,
+ leftCutoff: option(float),
+ rightCutoff: option(float),
+ t: node,
+ )
+ : result(node, string) => {
+ t
+ |> trySimplification(leftCutoff, rightCutoff)
+ |> (
+ fun
+ | `Solution(t) => Ok(t)
+ | `Error(e) => Error(e)
+ | `NoSolution =>
+ truncateAsShape(evaluationParams, leftCutoff, rightCutoff, t)
+ );
+ };
+};
+
+module Normalize = {
+ let rec operationToLeaf = (evaluationParams, t: node): result(node, string) => {
+ Js.log2("normalize", t);
+ switch (t) {
+ | `RenderedDist(s) => Ok(`RenderedDist(Shape.T.normalize(s)))
+ | `SymbolicDist(_) => Ok(t)
+ | _ => evaluateAndRetry(evaluationParams, operationToLeaf, t)
+ };
+ };
+};
+
+module FunctionCall = {
+ let _runHardcodedFunction = (name, evaluationParams, args) =>
+ TypeSystem.Function.Ts.findByNameAndRun(
+ HardcodedFunctions.all,
+ name,
+ evaluationParams,
+ args,
+ );
+
+ let _runLocalFunction = (name, evaluationParams: evaluationParams, args) => {
+ Environment.getFunction(evaluationParams.environment, name)
+ |> E.R.bind(_, ((argNames, fn)) =>
+ PTypes.Function.run(evaluationParams, args, (argNames, fn))
+ );
+ };
+
+ let _runWithEvaluatedInputs =
+ (
+ evaluationParams: ExpressionTypes.ExpressionTree.evaluationParams,
+ name,
+ args: array(ExpressionTypes.ExpressionTree.node),
+ ) => {
+ _runHardcodedFunction(name, evaluationParams, args)
+ |> E.O.default(_runLocalFunction(name, evaluationParams, args));
+ };
+
+ // TODO: This forces things to be floats
+ let run = (evaluationParams, name, args) => {
+ args
+ |> E.A.fmap(a => evaluationParams.evaluateNode(evaluationParams, a))
+ |> E.A.R.firstErrorOrOpen
+ |> E.R.bind(_, _runWithEvaluatedInputs(evaluationParams, name));
+ };
+};
+
+module Render = {
+ let rec operationToLeaf =
+ (evaluationParams: evaluationParams, t: node): result(t, string) => {
+ switch (t) {
+ | `Function(_) => Error("Cannot render a function")
+ | `SymbolicDist(d) =>
+ Ok(
+ `RenderedDist(
+ SymbolicDist.T.toShape(
+ evaluationParams.samplingInputs.shapeLength,
+ d,
+ ),
+ ),
+ )
+ | `RenderedDist(_) as t => Ok(t) // already a rendered shape, we're done here
+ | _ => evaluateAndRetry(evaluationParams, operationToLeaf, t)
+ };
+ };
+};
+
+/* This function recursively goes through the nodes of the parse tree,
+ replacing each Operation node and its subtree with a Data node.
+ Whenever possible, the replacement produces a new Symbolic Data node,
+ but most often it will produce a RenderedDist.
+ This function is used mainly to turn a parse tree into a single RenderedDist
+ that can then be displayed to the user. */
+let rec toLeaf =
+ (
+ evaluationParams: ExpressionTypes.ExpressionTree.evaluationParams,
+ node: t,
+ )
+ : result(t, string) => {
+ switch (node) {
+ // Leaf nodes just stay leaf nodes
+ | `SymbolicDist(_)
+ | `Function(_)
+ | `RenderedDist(_) => Ok(node)
+ | `Array(args) =>
+ args
+ |> E.A.fmap(toLeaf(evaluationParams))
+ |> E.A.R.firstErrorOrOpen
+ |> E.R.fmap(r => `Array(r))
+ // Operations nevaluationParamsd to be turned into leaves
+ | `AlgebraicCombination(algebraicOp, t1, t2) =>
+ AlgebraicCombination.operationToLeaf(
+ evaluationParams,
+ algebraicOp,
+ t1,
+ t2,
+ )
+ | `PointwiseCombination(pointwiseOp, t1, t2) =>
+ PointwiseCombination.operationToLeaf(
+ evaluationParams,
+ pointwiseOp,
+ t1,
+ t2,
+ )
+ | `Truncate(leftCutoff, rightCutoff, t) =>
+ Truncate.operationToLeaf(evaluationParams, leftCutoff, rightCutoff, t)
+ | `Normalize(t) => Normalize.operationToLeaf(evaluationParams, t)
+ | `Render(t) => Render.operationToLeaf(evaluationParams, t)
+ | `Hash(t) =>
+ t
+ |> E.A.fmap(((name: string, node: node)) =>
+ toLeaf(evaluationParams, node) |> E.R.fmap(r => (name, r))
+ )
+ |> E.A.R.firstErrorOrOpen
+ |> E.R.fmap(r => `Hash(r))
+ | `Symbol(r) =>
+ ExpressionTypes.ExpressionTree.Environment.get(
+ evaluationParams.environment,
+ r,
+ )
+ |> E.O.toResult("Undeclared variable " ++ r)
+ |> E.R.bind(_, toLeaf(evaluationParams))
+ | `FunctionCall(name, args) =>
+ FunctionCall.run(evaluationParams, name, args)
+ |> E.R.bind(_, toLeaf(evaluationParams))
+ }
+};
diff --git a/packages/squiggle-old/src/distPlus/expressionTree/ExpressionTypes.re b/packages/squiggle-old/src/distPlus/expressionTree/ExpressionTypes.re
new file mode 100644
index 00000000..6d34c255
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/expressionTree/ExpressionTypes.re
@@ -0,0 +1,180 @@
+type algebraicOperation = [
+ | `Add
+ | `Multiply
+ | `Subtract
+ | `Divide
+ | `Exponentiate
+];
+type pointwiseOperation = [ | `Add | `Multiply | `Exponentiate];
+type scaleOperation = [ | `Multiply | `Exponentiate | `Log];
+type distToFloatOperation = [
+ | `Pdf(float)
+ | `Cdf(float)
+ | `Inv(float)
+ | `Mean
+ | `Sample
+];
+
+module ExpressionTree = {
+ type hash = array((string, node))
+ and node = [
+ | `SymbolicDist(SymbolicTypes.symbolicDist)
+ | `RenderedDist(DistTypes.shape)
+ | `Symbol(string)
+ | `Hash(hash)
+ | `Array(array(node))
+ | `Function(array(string), node)
+ | `AlgebraicCombination(algebraicOperation, node, node)
+ | `PointwiseCombination(pointwiseOperation, node, node)
+ | `Normalize(node)
+ | `Render(node)
+ | `Truncate(option(float), option(float), node)
+ | `FunctionCall(string, array(node))
+ ];
+
+ module Hash = {
+ type t('a) = array((string, 'a));
+ let getByName = (t: t('a), name) =>
+ E.A.getBy(t, ((n, _)) => n == name) |> E.O.fmap(((_, r)) => r);
+
+ let getByNameResult = (t: t('a), name) =>
+ getByName(t, name) |> E.O.toResult(name ++ " expected and not found");
+
+ let getByNames = (hash: t('a), names: array(string)) =>
+ names |> E.A.fmap(name => (name, getByName(hash, name)));
+ };
+ // Have nil as option
+ let getFloat = (node: node) =>
+ node
+ |> (
+ fun
+ | `RenderedDist(Discrete({xyShape: {xs: [|x|], ys: [|1.0|]}})) =>
+ Some(x)
+ | `SymbolicDist(`Float(x)) => Some(x)
+ | _ => None
+ );
+
+ let toFloatIfNeeded = (node: node) =>
+ switch (node |> getFloat) {
+ | Some(float) => `SymbolicDist(`Float(float))
+ | None => node
+ };
+
+ type samplingInputs = {
+ sampleCount: int,
+ outputXYPoints: int,
+ kernelWidth: option(float),
+ shapeLength: int,
+ };
+
+ module SamplingInputs = {
+ type t = {
+ sampleCount: option(int),
+ outputXYPoints: option(int),
+ kernelWidth: option(float),
+ shapeLength: option(int),
+ };
+ let withDefaults = (t: t): samplingInputs => {
+ sampleCount: t.sampleCount |> E.O.default(10000),
+ outputXYPoints: t.outputXYPoints |> E.O.default(10000),
+ kernelWidth: t.kernelWidth,
+ shapeLength: t.shapeLength |> E.O.default(10000),
+ };
+ };
+
+ type environment = Belt.Map.String.t(node);
+
+ module Environment = {
+ type t = environment;
+ module MS = Belt.Map.String;
+ let fromArray = MS.fromArray;
+ let empty: t = [||]->fromArray;
+ let mergeKeepSecond = (a: t, b: t) =>
+ MS.merge(a, b, (_, a, b) =>
+ switch (a, b) {
+ | (_, Some(b)) => Some(b)
+ | (Some(a), _) => Some(a)
+ | _ => None
+ }
+ );
+ let update = (t, str, fn) => MS.update(t, str, fn);
+ let get = (t: t, str) => MS.get(t, str);
+ let getFunction = (t: t, str) =>
+ switch (get(t, str)) {
+ | Some(`Function(argNames, fn)) => Ok((argNames, fn))
+ | _ => Error("Function " ++ str ++ " not found")
+ };
+ };
+
+ type evaluationParams = {
+ samplingInputs,
+ environment,
+ evaluateNode: (evaluationParams, node) => Belt.Result.t(node, string),
+ };
+
+ let evaluateNode = (evaluationParams: evaluationParams) =>
+ evaluationParams.evaluateNode(evaluationParams);
+
+ let evaluateAndRetry = (evaluationParams, fn, node) =>
+ node
+ |> evaluationParams.evaluateNode(evaluationParams)
+ |> E.R.bind(_, fn(evaluationParams));
+
+ module Render = {
+ type t = node;
+
+ let render = (evaluationParams: evaluationParams, r) =>
+ `Render(r) |> evaluateNode(evaluationParams);
+
+ let ensureIsRendered = (params, t) =>
+ switch (t) {
+ | `RenderedDist(_) => Ok(t)
+ | _ =>
+ switch (render(params, t)) {
+ | Ok(`RenderedDist(r)) => Ok(`RenderedDist(r))
+ | Ok(_) => Error("Did not render as requested")
+ | Error(e) => Error(e)
+ }
+ };
+
+ let ensureIsRenderedAndGetShape = (params, t) =>
+ switch (ensureIsRendered(params, t)) {
+ | Ok(`RenderedDist(r)) => Ok(r)
+ | Ok(_) => Error("Did not render as requested")
+ | Error(e) => Error(e)
+ };
+
+ let getShape = (item: node) =>
+ switch (item) {
+ | `RenderedDist(r) => Some(r)
+ | _ => None
+ };
+
+ let _toFloat = (t: DistTypes.shape) =>
+ switch (t) {
+ | Discrete({xyShape: {xs: [|x|], ys: [|1.0|]}}) =>
+ Some(`SymbolicDist(`Float(x)))
+ | _ => None
+ };
+
+ let toFloat = (item: node): result(node, string) =>
+ item
+ |> getShape
+ |> E.O.bind(_, _toFloat)
+ |> E.O.toResult("Not valid shape");
+ };
+};
+
+type simplificationResult = [
+ | `Solution(ExpressionTree.node)
+ | `Error(string)
+ | `NoSolution
+];
+
+module Program = {
+ type statement = [
+ | `Assignment(string, ExpressionTree.node)
+ | `Expression(ExpressionTree.node)
+ ];
+ type program = array(statement);
+};
diff --git a/packages/squiggle-old/src/distPlus/expressionTree/MathJsParser.re b/packages/squiggle-old/src/distPlus/expressionTree/MathJsParser.re
new file mode 100644
index 00000000..a2f977d0
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/expressionTree/MathJsParser.re
@@ -0,0 +1,353 @@
+module MathJsonToMathJsAdt = {
+ type arg =
+ | Symbol(string)
+ | Value(float)
+ | Fn(fn)
+ | Array(array(arg))
+ | Blocks(array(arg))
+ | Object(Js.Dict.t(arg))
+ | Assignment(arg, arg)
+ | FunctionAssignment(fnAssignment)
+ and fn = {
+ name: string,
+ args: array(arg),
+ }
+ and fnAssignment = {
+ name: string,
+ args: array(string),
+ expression: arg,
+ };
+
+ let rec run = (j: Js.Json.t) =>
+ Json.Decode.(
+ switch (field("mathjs", string, j)) {
+ | "FunctionNode" =>
+ let args = j |> field("args", array(run));
+ let name = j |> optional(field("fn", field("name", string)));
+ name |> E.O.fmap(name => Fn({name, args: args |> E.A.O.concatSomes}));
+ | "OperatorNode" =>
+ let args = j |> field("args", array(run));
+ Some(
+ Fn({
+ name: j |> field("fn", string),
+ args: args |> E.A.O.concatSomes,
+ }),
+ );
+ | "ConstantNode" =>
+ optional(field("value", Json.Decode.float), j)
+ |> E.O.fmap(r => Value(r))
+ | "ParenthesisNode" => j |> field("content", run)
+ | "ObjectNode" =>
+ let properties = j |> field("properties", dict(run));
+ Js.Dict.entries(properties)
+ |> E.A.fmap(((key, value)) => value |> E.O.fmap(v => (key, v)))
+ |> E.A.O.concatSomes
+ |> Js.Dict.fromArray
+ |> (r => Some(Object(r)));
+ | "ArrayNode" =>
+ let items = field("items", array(run), j);
+ Some(Array(items |> E.A.O.concatSomes));
+ | "SymbolNode" => Some(Symbol(field("name", string, j)))
+ | "AssignmentNode" =>
+ let object_ = j |> field("object", run);
+ let value_ = j |> field("value", run);
+ switch (object_, value_) {
+ | (Some(o), Some(v)) => Some(Assignment(o, v))
+ | _ => None
+ };
+ | "BlockNode" =>
+ let block = r => r |> field("node", run);
+ let args = j |> field("blocks", array(block)) |> E.A.O.concatSomes;
+ Some(Blocks(args));
+ | "FunctionAssignmentNode" =>
+ let name = j |> field("name", string);
+ let args = j |> field("params", array(field("name", string)));
+ let expression = j |> field("expr", run);
+ expression
+ |> E.O.fmap(expression =>
+ FunctionAssignment({name, args, expression})
+ );
+ | n =>
+ Js.log3("Couldn't parse mathjs node", j, n);
+ None;
+ }
+ );
+};
+
+module MathAdtToDistDst = {
+ open MathJsonToMathJsAdt;
+
+ let handleSymbol = sym => {
+ Ok(`Symbol(sym));
+ };
+
+ // TODO: This only works on the top level, which needs to be refactored. Also, I think functions don't need to be done like this anymore.
+ module MathAdtCleaner = {
+ let transformWithSymbol = (f: float, s: string) =>
+ switch (s) {
+ | "K" => Some(f *. 1000.)
+ | "M" => Some(f *. 1000000.)
+ | "B" => Some(f *. 1000000000.)
+ | "T" => Some(f *. 1000000000000.)
+ | _ => None
+ };
+ let rec run =
+ fun
+ | Fn({name: "multiply", args: [|Value(f), Symbol(s)|]}) as doNothing =>
+ transformWithSymbol(f, s)
+ |> E.O.fmap(r => Value(r))
+ |> E.O.default(doNothing)
+ | Fn({name: "unaryMinus", args: [|Value(f)|]}) => Value((-1.0) *. f)
+ | Fn({name, args}) => Fn({name, args: args |> E.A.fmap(run)})
+ | Array(args) => Array(args |> E.A.fmap(run))
+ | Symbol(s) => Symbol(s)
+ | Value(v) => Value(v)
+ | Blocks(args) => Blocks(args |> E.A.fmap(run))
+ | Assignment(a, b) => Assignment(a, run(b))
+ | FunctionAssignment(a) => FunctionAssignment(a)
+ | Object(v) =>
+ Object(
+ v
+ |> Js.Dict.entries
+ |> E.A.fmap(((key, value)) => (key, run(value)))
+ |> Js.Dict.fromArray,
+ );
+ };
+
+ let lognormal = (args, parseArgs, nodeParser) =>
+ switch (args) {
+ | [|Object(o)|] =>
+ let g = s =>
+ Js.Dict.get(o, s)
+ |> E.O.toResult("Variable was empty")
+ |> E.R.bind(_, nodeParser);
+ switch (g("mean"), g("stdev"), g("mu"), g("sigma")) {
+ | (Ok(mean), Ok(stdev), _, _) =>
+ Ok(`FunctionCall(("lognormalFromMeanAndStdDev", [|mean, stdev|])))
+ | (_, _, Ok(mu), Ok(sigma)) =>
+ Ok(`FunctionCall(("lognormal", [|mu, sigma|])))
+ | _ =>
+ Error(
+ "Lognormal distribution needs either mean and stdev or mu and sigma",
+ )
+ };
+ | _ =>
+ parseArgs()
+ |> E.R.fmap((args: array(ExpressionTypes.ExpressionTree.node)) =>
+ `FunctionCall(("lognormal", args))
+ )
+ };
+
+ // Error("Dotwise exponentiation needs two operands")
+ let operationParser =
+ (
+ name: string,
+ args: result(array(ExpressionTypes.ExpressionTree.node), string),
+ )
+ : result(ExpressionTypes.ExpressionTree.node, string) => {
+ let toOkAlgebraic = r => Ok(`AlgebraicCombination(r));
+ let toOkPointwise = r => Ok(`PointwiseCombination(r));
+ let toOkTruncate = r => Ok(`Truncate(r));
+ args
+ |> E.R.bind(_, args => {
+ switch (name, args) {
+ | ("add", [|l, r|]) => toOkAlgebraic((`Add, l, r))
+ | ("add", _) => Error("Addition needs two operands")
+ | ("unaryMinus", [|l|]) =>
+ toOkAlgebraic((`Multiply, `SymbolicDist(`Float(-1.0)), l))
+ | ("subtract", [|l, r|]) => toOkAlgebraic((`Subtract, l, r))
+ | ("subtract", _) => Error("Subtraction needs two operands")
+ | ("multiply", [|l, r|]) => toOkAlgebraic((`Multiply, l, r))
+ | ("multiply", _) => Error("Multiplication needs two operands")
+ | ("pow", [|l, r|]) => toOkAlgebraic((`Exponentiate, l, r))
+ | ("pow", _) => Error("Exponentiation needs two operands")
+ | ("dotMultiply", [|l, r|]) => toOkPointwise((`Multiply, l, r))
+ | ("dotMultiply", _) =>
+ Error("Dotwise multiplication needs two operands")
+ | ("dotPow", [|l, r|]) => toOkPointwise((`Exponentiate, l, r))
+ | ("dotPow", _) =>
+ Error("Dotwise exponentiation needs two operands")
+ | ("rightLogShift", [|l, r|]) => toOkPointwise((`Add, l, r))
+ | ("rightLogShift", _) =>
+ Error("Dotwise addition needs two operands")
+ | ("divide", [|l, r|]) => toOkAlgebraic((`Divide, l, r))
+ | ("divide", _) => Error("Division needs two operands")
+ | ("leftTruncate", [|d, `SymbolicDist(`Float(lc))|]) =>
+ toOkTruncate((Some(lc), None, d))
+ | ("leftTruncate", _) =>
+ Error(
+ "leftTruncate needs two arguments: the expression and the cutoff",
+ )
+ | ("rightTruncate", [|d, `SymbolicDist(`Float(rc))|]) =>
+ toOkTruncate((None, Some(rc), d))
+ | ("rightTruncate", _) =>
+ Error(
+ "rightTruncate needs two arguments: the expression and the cutoff",
+ )
+ | (
+ "truncate",
+ [|d, `SymbolicDist(`Float(lc)), `SymbolicDist(`Float(rc))|],
+ ) =>
+ toOkTruncate((Some(lc), Some(rc), d))
+ | ("truncate", _) =>
+ Error(
+ "truncate needs three arguments: the expression and both cutoffs",
+ )
+ | _ => Error("This type not currently supported")
+ }
+ });
+ };
+
+ let functionParser =
+ (
+ nodeParser:
+ MathJsonToMathJsAdt.arg =>
+ Belt.Result.t(
+ ProbExample.ExpressionTypes.ExpressionTree.node,
+ string,
+ ),
+ name: string,
+ args: array(MathJsonToMathJsAdt.arg),
+ )
+ : result(ExpressionTypes.ExpressionTree.node, string) => {
+ let parseArray = ags =>
+ ags |> E.A.fmap(nodeParser) |> E.A.R.firstErrorOrOpen;
+ let parseArgs = () => parseArray(args);
+ switch (name) {
+ | "lognormal" => lognormal(args, parseArgs, nodeParser)
+ | "multimodal"
+ | "add"
+ | "subtract"
+ | "multiply"
+ | "unaryMinus"
+ | "dotMultiply"
+ | "dotPow"
+ | "rightLogShift"
+ | "divide"
+ | "pow"
+ | "leftTruncate"
+ | "rightTruncate"
+ | "truncate" => operationParser(name, parseArgs())
+ | "mm" =>
+ let weights =
+ args
+ |> E.A.last
+ |> E.O.bind(
+ _,
+ fun
+ | Array(values) => Some(parseArray(values))
+ | _ => None,
+ );
+ let possibleDists =
+ E.O.isSome(weights)
+ ? Belt.Array.slice(args, ~offset=0, ~len=E.A.length(args) - 1)
+ : args;
+ let dists = parseArray(possibleDists);
+ switch (weights, dists) {
+ | (Some(Error(r)), _) => Error(r)
+ | (_, Error(r)) => Error(r)
+ | (None, Ok(dists)) =>
+ let hash: ExpressionTypes.ExpressionTree.node =
+ `FunctionCall(("multimodal", [|`Hash(
+ [|
+ ("dists", `Array(dists)),
+ ("weights", `Array([||]))
+ |]
+ )|]));
+ Ok(hash);
+ | (Some(Ok(weights)), Ok(dists)) =>
+ let hash: ExpressionTypes.ExpressionTree.node =
+ `FunctionCall(("multimodal", [|`Hash(
+ [|
+ ("dists", `Array(dists)),
+ ("weights", `Array(weights))
+ |]
+ )|]));
+ Ok(hash);
+ };
+ | name =>
+ parseArgs()
+ |> E.R.fmap((args: array(ExpressionTypes.ExpressionTree.node)) =>
+ `FunctionCall((name, args))
+ )
+ };
+ };
+
+ let rec nodeParser:
+ MathJsonToMathJsAdt.arg =>
+ result(ExpressionTypes.ExpressionTree.node, string) =
+ fun
+ | Value(f) => Ok(`SymbolicDist(`Float(f)))
+ | Symbol(sym) => Ok(`Symbol(sym))
+ | Fn({name, args}) => functionParser(nodeParser, name, args)
+ | _ => {
+ Error("This type not currently supported");
+ };
+
+ // | FunctionAssignment({name, args, expression}) => {
+ // let evaluatedExpression = run(expression);
+ // `Function(_ => Ok(evaluatedExpression));
+ // }
+ let rec topLevel = (r): result(ExpressionTypes.Program.program, string) =>
+ switch (r) {
+ | FunctionAssignment({name, args, expression}) =>
+ switch (nodeParser(expression)) {
+ | Ok(r) => Ok([|`Assignment((name, `Function((args, r))))|])
+ | Error(r) => Error(r)
+ }
+ | Value(_) as r => nodeParser(r) |> E.R.fmap(r => [|`Expression(r)|])
+ | Fn(_) as r => nodeParser(r) |> E.R.fmap(r => [|`Expression(r)|])
+ | Array(_) => Error("Array not valid as top level")
+ | Symbol(s) => handleSymbol(s) |> E.R.fmap(r => [|`Expression(r)|])
+ | Object(_) => Error("Object not valid as top level")
+ | Assignment(name, value) =>
+ switch (name) {
+ | Symbol(symbol) =>
+ nodeParser(value) |> E.R.fmap(r => [|`Assignment((symbol, r))|])
+ | _ => Error("Symbol not a string")
+ }
+ | Blocks(blocks) =>
+ blocks
+ |> E.A.fmap(b => topLevel(b))
+ |> E.A.R.firstErrorOrOpen
+ |> E.R.fmap(E.A.concatMany)
+ };
+
+ let run = (r): result(ExpressionTypes.Program.program, string) =>
+ r |> MathAdtCleaner.run |> topLevel;
+};
+
+/* The MathJs parser doesn't support '.+' syntax, but we want it because it
+ would make sense with '.*'. Our workaround is to change this to >>>, which is
+ logShift in mathJS. We don't expect to use logShift anytime soon, so this tradeoff
+ seems fine.
+ */
+let pointwiseToRightLogShift = Js.String.replaceByRe([%re "/\.\+/g"], ">>>");
+
+let fromString2 = str => {
+ /* We feed the user-typed string into Mathjs.parseMath,
+ which returns a JSON with (hopefully) a single-element array.
+ This array element is the top-level node of a nested-object tree
+ representing the functions/arguments/values/etc. in the string.
+
+ The function MathJsonToMathJsAdt then recursively unpacks this JSON into a typed data structure we can use.
+ Inside of this function, MathAdtToDistDst is called whenever a distribution function is encountered.
+ */
+ let mathJsToJson = str |> pointwiseToRightLogShift |> Mathjs.parseMath;
+
+ let mathJsParse =
+ E.R.bind(mathJsToJson, r => {
+ switch (MathJsonToMathJsAdt.run(r)) {
+ | Some(r) => Ok(r)
+ | None => Error("MathJsParse Error")
+ }
+ });
+
+ let value = E.R.bind(mathJsParse, MathAdtToDistDst.run);
+ Js.log2(mathJsParse, value);
+ value;
+};
+
+let fromString = str => {
+ fromString2(str);
+};
diff --git a/packages/squiggle-old/src/distPlus/expressionTree/Mathjs.re b/packages/squiggle-old/src/distPlus/expressionTree/Mathjs.re
new file mode 100644
index 00000000..1b0c7bc7
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/expressionTree/Mathjs.re
@@ -0,0 +1,10 @@
+[@bs.module "./MathjsWrapper.js"]
+external parseMathExt: string => Js.Json.t = "parseMath";
+
+let parseMath = (str: string): result(Js.Json.t, string) =>
+ switch (parseMathExt(str)) {
+ | exception (Js.Exn.Error(err)) =>
+ Error(Js.Exn.message(err) |> E.O.default("MathJS Parse Error"))
+ | exception _ => Error("MathJS Parse Error")
+ | j => Ok(j)
+ };
\ No newline at end of file
diff --git a/packages/squiggle-old/src/distPlus/expressionTree/MathjsWrapper.js b/packages/squiggle-old/src/distPlus/expressionTree/MathjsWrapper.js
new file mode 100644
index 00000000..3546ba42
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/expressionTree/MathjsWrapper.js
@@ -0,0 +1,9 @@
+const math = require("mathjs");
+
+function parseMath(f) {
+ return JSON.parse(JSON.stringify(math.parse(f)))
+};
+
+module.exports = {
+ parseMath,
+};
\ No newline at end of file
diff --git a/packages/squiggle-old/src/distPlus/expressionTree/Operation.re b/packages/squiggle-old/src/distPlus/expressionTree/Operation.re
new file mode 100644
index 00000000..6f93af1a
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/expressionTree/Operation.re
@@ -0,0 +1,105 @@
+open ExpressionTypes;
+
+module Algebraic = {
+ type t = algebraicOperation;
+ let toFn: (t, float, float) => float =
+ fun
+ | `Add => (+.)
+ | `Subtract => (-.)
+ | `Multiply => ( *. )
+ | `Exponentiate => ( ** )
+ | `Divide => (/.);
+
+ let applyFn = (t, f1, f2) => {
+ switch (t, f1, f2) {
+ | (`Divide, _, 0.) => Error("Cannot divide $v1 by zero.")
+ | _ => Ok(toFn(t, f1, f2))
+ };
+ };
+
+ let toString =
+ fun
+ | `Add => "+"
+ | `Subtract => "-"
+ | `Multiply => "*"
+ | `Exponentiate => ( "**" )
+ | `Divide => "/";
+
+ let format = (a, b, c) => b ++ " " ++ toString(a) ++ " " ++ c;
+};
+
+module Pointwise = {
+ type t = pointwiseOperation;
+ let toString =
+ fun
+ | `Add => "+"
+ | `Exponentiate => "^"
+ | `Multiply => "*";
+
+ let format = (a, b, c) => b ++ " " ++ toString(a) ++ " " ++ c;
+};
+
+module DistToFloat = {
+ type t = distToFloatOperation;
+
+ let format = (operation, value) =>
+ switch (operation) {
+ | `Cdf(f) => {j|cdf(x=$f,$value)|j}
+ | `Pdf(f) => {j|pdf(x=$f,$value)|j}
+ | `Inv(f) => {j|inv(x=$f,$value)|j}
+ | `Sample => "sample($value)"
+ | `Mean => "mean($value)"
+ };
+};
+
+// Note that different logarithms don't really do anything.
+module Scale = {
+ type t = scaleOperation;
+ let toFn =
+ fun
+ | `Multiply => ( *. )
+ | `Exponentiate => ( ** )
+ | `Log => ((a, b) => log(a) /. log(b));
+
+ let format = (operation: t, value, scaleBy) =>
+ switch (operation) {
+ | `Multiply => {j|verticalMultiply($value, $scaleBy) |j}
+ | `Exponentiate => {j|verticalExponentiate($value, $scaleBy) |j}
+ | `Log => {j|verticalLog($value, $scaleBy) |j}
+ };
+
+ let toIntegralSumCacheFn =
+ fun
+ | `Multiply => ((a, b) => Some(a *. b))
+ | `Exponentiate => ((_, _) => None)
+ | `Log => ((_, _) => None);
+
+ let toIntegralCacheFn =
+ fun
+ | `Multiply => ((a, b) => None) // TODO: this could probably just be multiplied out (using Continuous.scaleBy)
+ | `Exponentiate => ((_, _) => None)
+ | `Log => ((_, _) => None);
+};
+
+module T = {
+ let truncateToString =
+ (left: option(float), right: option(float), nodeToString) => {
+ let left = left |> E.O.dimap(Js.Float.toString, () => "-inf");
+ let right = right |> E.O.dimap(Js.Float.toString, () => "inf");
+ {j|truncate($nodeToString, $left, $right)|j};
+ };
+ let toString = nodeToString =>
+ fun
+ | `AlgebraicCombination(op, t1, t2) =>
+ Algebraic.format(op, nodeToString(t1), nodeToString(t2))
+ | `PointwiseCombination(op, t1, t2) =>
+ Pointwise.format(op, nodeToString(t1), nodeToString(t2))
+ | `VerticalScaling(scaleOp, t, scaleBy) =>
+ Scale.format(scaleOp, nodeToString(t), nodeToString(scaleBy))
+ | `Normalize(t) => "normalize(k" ++ nodeToString(t) ++ ")"
+ | `FloatFromDist(floatFromDistOp, t) =>
+ DistToFloat.format(floatFromDistOp, nodeToString(t))
+ | `Truncate(lc, rc, t) => truncateToString(lc, rc, nodeToString(t))
+ | `Render(t) => nodeToString(t)
+ | _ => ""; // SymbolicDist and RenderedDist are handled in ExpressionTree.toString.
+};
diff --git a/packages/squiggle-old/src/distPlus/expressionTree/PTypes.re b/packages/squiggle-old/src/distPlus/expressionTree/PTypes.re
new file mode 100644
index 00000000..90c92dc0
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/expressionTree/PTypes.re
@@ -0,0 +1,143 @@
+open ExpressionTypes.ExpressionTree;
+
+module Function = {
+ type t = (array(string), node);
+ let fromNode: node => option(t) =
+ node =>
+ switch (node) {
+ | `Function(r) => Some(r)
+ | _ => None
+ };
+ let argumentNames = ((a, _): t) => a;
+ let internals = ((_, b): t) => b;
+ let run =
+ (
+ evaluationParams: ExpressionTypes.ExpressionTree.evaluationParams,
+ args: array(node),
+ t: t,
+ ) =>
+ if (E.A.length(args) == E.A.length(argumentNames(t))) {
+ let newEnvironment =
+ Belt.Array.zip(argumentNames(t), args)
+ |> ExpressionTypes.ExpressionTree.Environment.fromArray;
+ let newEvaluationParams: ExpressionTypes.ExpressionTree.evaluationParams = {
+ samplingInputs: evaluationParams.samplingInputs,
+ environment:
+ ExpressionTypes.ExpressionTree.Environment.mergeKeepSecond(
+ evaluationParams.environment,
+ newEnvironment,
+ ),
+ evaluateNode: evaluationParams.evaluateNode,
+ };
+ evaluationParams.evaluateNode(newEvaluationParams, internals(t));
+ } else {
+ Error("Wrong number of variables");
+ };
+
+};
+
+module Primative = {
+ type t = [
+ | `SymbolicDist(SymbolicTypes.symbolicDist)
+ | `RenderedDist(DistTypes.shape)
+ | `Function(array(string), node)
+ ];
+
+ let isPrimative: node => bool =
+ fun
+ | `SymbolicDist(_)
+ | `RenderedDist(_)
+ | `Function(_) => true
+ | _ => false;
+
+ let fromNode: node => option(t) =
+ fun
+ | `SymbolicDist(_) as n
+ | `RenderedDist(_) as n
+ | `Function(_) as n => Some(n)
+ | _ => None;
+};
+
+module SamplingDistribution = {
+ type t = [
+ | `SymbolicDist(SymbolicTypes.symbolicDist)
+ | `RenderedDist(DistTypes.shape)
+ ];
+
+ let isSamplingDistribution: node => bool =
+ fun
+ | `SymbolicDist(_) => true
+ | `RenderedDist(_) => true
+ | _ => false;
+
+ let fromNode: node => result(t, string) =
+ fun
+ | `SymbolicDist(n) => Ok(`SymbolicDist(n))
+ | `RenderedDist(n) => Ok(`RenderedDist(n))
+ | _ => Error("Not valid type");
+
+ let renderIfIsNotSamplingDistribution = (params, t): result(node, string) =>
+ !isSamplingDistribution(t)
+ ? switch (Render.render(params, t)) {
+ | Ok(r) => Ok(r)
+ | Error(e) => Error(e)
+ }
+ : Ok(t);
+
+ let map = (~renderedDistFn, ~symbolicDistFn, node: node) =>
+ node
+ |> (
+ fun
+ | `RenderedDist(r) => Some(renderedDistFn(r))
+ | `SymbolicDist(s) => Some(symbolicDistFn(s))
+ | _ => None
+ );
+
+ let sampleN = n =>
+ map(
+ ~renderedDistFn=Shape.sampleNRendered(n),
+ ~symbolicDistFn=SymbolicDist.T.sampleN(n),
+ );
+
+ let getCombinationSamples = (n, algebraicOp, t1: node, t2: node) => {
+ switch (sampleN(n, t1), sampleN(n, t2)) {
+ | (Some(a), Some(b)) =>
+ Some(
+ Belt.Array.zip(a, b)
+ |> E.A.fmap(((a, b)) => Operation.Algebraic.toFn(algebraicOp, a, b)),
+ )
+ | _ => None
+ };
+ };
+
+ let combineShapesUsingSampling =
+ (evaluationParams: evaluationParams, algebraicOp, t1: node, t2: node) => {
+ let i1 = renderIfIsNotSamplingDistribution(evaluationParams, t1);
+ let i2 = renderIfIsNotSamplingDistribution(evaluationParams, t2);
+ E.R.merge(i1, i2)
+ |> E.R.bind(
+ _,
+ ((a, b)) => {
+ let samples =
+ getCombinationSamples(
+ evaluationParams.samplingInputs.sampleCount,
+ algebraicOp,
+ a,
+ b,
+ );
+
+ // todo: This bottom part should probably be somewhere else.
+ let shape =
+ samples
+ |> E.O.fmap(
+ SamplesToShape.fromSamples(
+ ~samplingInputs=evaluationParams.samplingInputs,
+ ),
+ )
+ |> E.O.bind(_, r => r.shape)
+ |> E.O.toResult("No response");
+ shape |> E.R.fmap(r => `Normalize(`RenderedDist(r)));
+ },
+ );
+ };
+};
diff --git a/packages/squiggle-old/src/distPlus/expressionTree/Program.re b/packages/squiggle-old/src/distPlus/expressionTree/Program.re
new file mode 100644
index 00000000..7adfb3d8
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/expressionTree/Program.re
@@ -0,0 +1,5 @@
+type t = ExpressionTypes.Program.program;
+
+let last = (r:t) => E.A.last(r) |> E.O.toResult("No rendered lines");
+// let run = (p:program) => p |> E.A.last |> E.O.fmap(r =>
+// )
\ No newline at end of file
diff --git a/packages/squiggle-old/src/distPlus/samplesRenderer/Bandwidth.re b/packages/squiggle-old/src/distPlus/samplesRenderer/Bandwidth.re
new file mode 100644
index 00000000..d2315639
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/samplesRenderer/Bandwidth.re
@@ -0,0 +1,30 @@
+//The math here was taken from https://github.com/jasondavies/science.js/blob/master/src/stats/bandwidth.js
+
+let len = x => E.A.length(x) |> float_of_int;
+
+let iqr = x => {
+ Jstat.percentile(x, 0.75, true) -. Jstat.percentile(x, 0.25, true);
+};
+
+// Silverman, B. W. (1986) Density Estimation. London: Chapman and Hall.
+let nrd0 = x => {
+ let hi = Js_math.sqrt(Jstat.variance(x));
+ let lo = Js_math.minMany_float([|hi, iqr(x) /. 1.34|]);
+ let e = Js_math.abs_float(x[1]);
+ let lo' =
+ switch (lo, hi, e) {
+ | (lo, _, _) when !Js.Float.isNaN(lo) => lo
+ | (_, hi, _) when !Js.Float.isNaN(hi) => hi
+ | (_, _, e) when !Js.Float.isNaN(e) => e
+ | _ => 1.0
+ };
+ 0.9 *. lo' *. Js.Math.pow_float(~base=len(x), ~exp=-0.2);
+};
+
+// Scott, D. W. (1992) Multivariate Density Estimation: Theory, Practice, and Visualization. Wiley.
+let nrd = x => {
+ let h = iqr(x) /. 1.34;
+ 1.06
+ *. Js.Math.min_float(Js.Math.sqrt(Jstat.variance(x)), h)
+ *. Js.Math.pow_float(~base=len(x), ~exp=(-1.0) /. 5.0);
+};
\ No newline at end of file
diff --git a/packages/squiggle-old/src/distPlus/samplesRenderer/KdeLibrary.js b/packages/squiggle-old/src/distPlus/samplesRenderer/KdeLibrary.js
new file mode 100644
index 00000000..d95d3829
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/samplesRenderer/KdeLibrary.js
@@ -0,0 +1,21 @@
+const pdfast = require('pdfast');
+const _ = require("lodash");
+
+const samplesToContinuousPdf = (
+ samples,
+ size,
+ width,
+ min = false,
+ max = false,
+) => {
+ let _samples = _.filter(samples, _.isFinite);
+ if (_.isFinite(min)) { _samples = _.filter(_samples, r => r > min) };
+ if (_.isFinite(max)) { _samples = _.filter(_samples, r => r < max) };
+ let pdf = pdfast.create(_samples, { size, width });
+ return {xs: pdf.map(r => r.x), ys: pdf.map(r => r.y)};
+};
+
+
+module.exports = {
+ samplesToContinuousPdf,
+};
diff --git a/packages/squiggle-old/src/distPlus/samplesRenderer/SamplesToShape.re b/packages/squiggle-old/src/distPlus/samplesRenderer/SamplesToShape.re
new file mode 100644
index 00000000..7b3c231f
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/samplesRenderer/SamplesToShape.re
@@ -0,0 +1,164 @@
+module Internals = {
+ module Types = {
+ type samplingStats = {
+ sampleCount: int,
+ outputXYPoints: int,
+ bandwidthXSuggested: float,
+ bandwidthUnitSuggested: float,
+ bandwidthXImplemented: float,
+ bandwidthUnitImplemented: float,
+ };
+
+ type outputs = {
+ continuousParseParams: option(samplingStats),
+ shape: option(DistTypes.shape),
+ };
+ };
+
+ module JS = {
+ [@bs.deriving abstract]
+ type distJs = {
+ xs: array(float),
+ ys: array(float),
+ };
+
+ let jsToDist = (d: distJs): DistTypes.xyShape => {
+ xs: xsGet(d),
+ ys: ysGet(d),
+ };
+
+ [@bs.module "./KdeLibrary.js"]
+ external samplesToContinuousPdf: (array(float), int, int) => distJs =
+ "samplesToContinuousPdf";
+ };
+
+ module KDE = {
+ let normalSampling = (samples, outputXYPoints, kernelWidth) => {
+ samples
+ |> JS.samplesToContinuousPdf(_, outputXYPoints, kernelWidth)
+ |> JS.jsToDist;
+ };
+ };
+
+ module T = {
+ type t = array(float);
+
+ let splitContinuousAndDiscrete = (sortedArray: t) => {
+ let continuous = [||];
+ let discrete = E.FloatFloatMap.empty();
+ Belt.Array.forEachWithIndex(
+ sortedArray,
+ (index, element) => {
+ let maxIndex = (sortedArray |> Array.length) - 1;
+ let possiblySimilarElements =
+ (
+ switch (index) {
+ | 0 => [|index + 1|]
+ | n when n == maxIndex => [|index - 1|]
+ | _ => [|index - 1, index + 1|]
+ }
+ )
+ |> Belt.Array.map(_, r => sortedArray[r]);
+ let hasSimilarElement =
+ Belt.Array.some(possiblySimilarElements, r => r == element);
+ hasSimilarElement
+ ? E.FloatFloatMap.increment(element, discrete)
+ : {
+ let _ = Js.Array.push(element, continuous);
+ ();
+ };
+ ();
+ },
+ );
+ (continuous, discrete);
+ };
+
+ let xWidthToUnitWidth = (samples, outputXYPoints, xWidth) => {
+ let xyPointRange = E.A.Sorted.range(samples) |> E.O.default(0.0);
+ let xyPointWidth = xyPointRange /. float_of_int(outputXYPoints);
+ xWidth /. xyPointWidth;
+ };
+
+ let formatUnitWidth = w => Jstat.max([|w, 1.0|]) |> int_of_float;
+
+ let suggestedUnitWidth = (samples, outputXYPoints) => {
+ let suggestedXWidth = Bandwidth.nrd0(samples);
+ xWidthToUnitWidth(samples, outputXYPoints, suggestedXWidth);
+ };
+
+ let kde = (~samples, ~outputXYPoints, width) => {
+ KDE.normalSampling(samples, outputXYPoints, width);
+ };
+ };
+};
+
+let toShape =
+ (
+ ~samples: Internals.T.t,
+ ~samplingInputs: ExpressionTypes.ExpressionTree.samplingInputs,
+ (),
+ ) => {
+ Array.fast_sort(compare, samples);
+ let (continuousPart, discretePart) = E.A.Sorted.Floats.split(samples);
+ let length = samples |> E.A.length |> float_of_int;
+ let discrete: DistTypes.discreteShape =
+ discretePart
+ |> E.FloatFloatMap.fmap(r => r /. length)
+ |> E.FloatFloatMap.toArray
+ |> XYShape.T.fromZippedArray
+ |> Discrete.make;
+
+ let pdf =
+ continuousPart |> E.A.length > 5
+ ? {
+ let _suggestedXWidth = Bandwidth.nrd0(continuousPart);
+ // todo: This does some recalculating from the last step.
+ let _suggestedUnitWidth =
+ Internals.T.suggestedUnitWidth(
+ continuousPart,
+ samplingInputs.outputXYPoints,
+ );
+ let usedWidth =
+ samplingInputs.kernelWidth |> E.O.default(_suggestedXWidth);
+ let usedUnitWidth =
+ Internals.T.xWidthToUnitWidth(
+ samples,
+ samplingInputs.outputXYPoints,
+ usedWidth,
+ );
+ let samplingStats: Internals.Types.samplingStats = {
+ sampleCount: samplingInputs.sampleCount,
+ outputXYPoints: samplingInputs.outputXYPoints,
+ bandwidthXSuggested: _suggestedXWidth,
+ bandwidthUnitSuggested: _suggestedUnitWidth,
+ bandwidthXImplemented: usedWidth,
+ bandwidthUnitImplemented: usedUnitWidth,
+ };
+ continuousPart
+ |> Internals.T.kde(
+ ~samples=_,
+ ~outputXYPoints=samplingInputs.outputXYPoints,
+ Internals.T.formatUnitWidth(usedUnitWidth),
+ )
+ |> Continuous.make
+ |> (r => Some((r, samplingStats)));
+ }
+ : None;
+
+ let shape =
+ MixedShapeBuilder.buildSimple(
+ ~continuous=pdf |> E.O.fmap(fst),
+ ~discrete=Some(discrete),
+ );
+
+ let samplesParse: Internals.Types.outputs = {
+ continuousParseParams: pdf |> E.O.fmap(snd),
+ shape,
+ };
+
+ samplesParse;
+};
+
+let fromSamples = (~samplingInputs, samples) => {
+ toShape(~samples, ~samplingInputs, ());
+};
diff --git a/packages/squiggle-old/src/distPlus/symbolic/SymbolicDist.re b/packages/squiggle-old/src/distPlus/symbolic/SymbolicDist.re
new file mode 100644
index 00000000..33942187
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/symbolic/SymbolicDist.re
@@ -0,0 +1,346 @@
+open SymbolicTypes;
+
+module Exponential = {
+ type t = exponential;
+ let make = (rate:float): symbolicDist =>
+ `Exponential(
+ {
+ rate:rate
+ },
+ );
+ let pdf = (x, t: t) => Jstat.exponential##pdf(x, t.rate);
+ let cdf = (x, t: t) => Jstat.exponential##cdf(x, t.rate);
+ let inv = (p, t: t) => Jstat.exponential##inv(p, t.rate);
+ let sample = (t: t) => Jstat.exponential##sample(t.rate);
+ let mean = (t: t) => Ok(Jstat.exponential##mean(t.rate));
+ let toString = ({rate}: t) => {j|Exponential($rate)|j};
+};
+
+module Cauchy = {
+ type t = cauchy;
+ let make = (local, scale): symbolicDist => `Cauchy({local, scale});
+ let pdf = (x, t: t) => Jstat.cauchy##pdf(x, t.local, t.scale);
+ let cdf = (x, t: t) => Jstat.cauchy##cdf(x, t.local, t.scale);
+ let inv = (p, t: t) => Jstat.cauchy##inv(p, t.local, t.scale);
+ let sample = (t: t) => Jstat.cauchy##sample(t.local, t.scale);
+ let mean = (_: t) => Error("Cauchy distributions have no mean value.");
+ let toString = ({local, scale}: t) => {j|Cauchy($local, $scale)|j};
+};
+
+module Triangular = {
+ type t = triangular;
+ let make = (low, medium, high): result(symbolicDist, string) =>
+ low < medium && medium < high
+ ? Ok(`Triangular({low, medium, high}))
+ : Error("Triangular values must be increasing order");
+ let pdf = (x, t: t) => Jstat.triangular##pdf(x, t.low, t.high, t.medium);
+ let cdf = (x, t: t) => Jstat.triangular##cdf(x, t.low, t.high, t.medium);
+ let inv = (p, t: t) => Jstat.triangular##inv(p, t.low, t.high, t.medium);
+ let sample = (t: t) => Jstat.triangular##sample(t.low, t.high, t.medium);
+ let mean = (t: t) => Ok(Jstat.triangular##mean(t.low, t.high, t.medium));
+ let toString = ({low, medium, high}: t) => {j|Triangular($low, $medium, $high)|j};
+};
+
+module Normal = {
+ type t = normal;
+ let make = (mean, stdev): symbolicDist => `Normal({mean, stdev});
+ let pdf = (x, t: t) => Jstat.normal##pdf(x, t.mean, t.stdev);
+ let cdf = (x, t: t) => Jstat.normal##cdf(x, t.mean, t.stdev);
+
+ let from90PercentCI = (low, high) => {
+ let mean = E.A.Floats.mean([|low, high|]);
+ let stdev = (high -. low) /. (2. *. 1.644854);
+ `Normal({mean, stdev});
+ };
+ let inv = (p, t: t) => Jstat.normal##inv(p, t.mean, t.stdev);
+ let sample = (t: t) => Jstat.normal##sample(t.mean, t.stdev);
+ let mean = (t: t) => Ok(Jstat.normal##mean(t.mean, t.stdev));
+ let toString = ({mean, stdev}: t) => {j|Normal($mean,$stdev)|j};
+
+ let add = (n1: t, n2: t) => {
+ let mean = n1.mean +. n2.mean;
+ let stdev = sqrt(n1.stdev ** 2. +. n2.stdev ** 2.);
+ `Normal({mean, stdev});
+ };
+ let subtract = (n1: t, n2: t) => {
+ let mean = n1.mean -. n2.mean;
+ let stdev = sqrt(n1.stdev ** 2. +. n2.stdev ** 2.);
+ `Normal({mean, stdev});
+ };
+
+ // TODO: is this useful here at all? would need the integral as well ...
+ let pointwiseProduct = (n1: t, n2: t) => {
+ let mean =
+ (n1.mean *. n2.stdev ** 2. +. n2.mean *. n1.stdev ** 2.)
+ /. (n1.stdev ** 2. +. n2.stdev ** 2.);
+ let stdev = 1. /. (1. /. n1.stdev ** 2. +. 1. /. n2.stdev ** 2.);
+ `Normal({mean, stdev});
+ };
+
+ let operate = (operation: Operation.Algebraic.t, n1: t, n2: t) =>
+ switch (operation) {
+ | `Add => Some(add(n1, n2))
+ | `Subtract => Some(subtract(n1, n2))
+ | _ => None
+ };
+};
+
+module Beta = {
+ type t = beta;
+ let make = (alpha, beta) => `Beta({alpha, beta});
+ let pdf = (x, t: t) => Jstat.beta##pdf(x, t.alpha, t.beta);
+ let cdf = (x, t: t) => Jstat.beta##cdf(x, t.alpha, t.beta);
+ let inv = (p, t: t) => Jstat.beta##inv(p, t.alpha, t.beta);
+ let sample = (t: t) => Jstat.beta##sample(t.alpha, t.beta);
+ let mean = (t: t) => Ok(Jstat.beta##mean(t.alpha, t.beta));
+ let toString = ({alpha, beta}: t) => {j|Beta($alpha,$beta)|j};
+};
+
+module Lognormal = {
+ type t = lognormal;
+ let make = (mu, sigma) => `Lognormal({mu, sigma});
+ let pdf = (x, t: t) => Jstat.lognormal##pdf(x, t.mu, t.sigma);
+ let cdf = (x, t: t) => Jstat.lognormal##cdf(x, t.mu, t.sigma);
+ let inv = (p, t: t) => Jstat.lognormal##inv(p, t.mu, t.sigma);
+ let mean = (t: t) => Ok(Jstat.lognormal##mean(t.mu, t.sigma));
+ let sample = (t: t) => Jstat.lognormal##sample(t.mu, t.sigma);
+ let toString = ({mu, sigma}: t) => {j|Lognormal($mu,$sigma)|j};
+ let from90PercentCI = (low, high) => {
+ let logLow = Js.Math.log(low);
+ let logHigh = Js.Math.log(high);
+ let mu = E.A.Floats.mean([|logLow, logHigh|]);
+ let sigma = (logHigh -. logLow) /. (2.0 *. 1.645);
+ `Lognormal({mu, sigma});
+ };
+ let fromMeanAndStdev = (mean, stdev) => {
+ let variance = Js.Math.pow_float(~base=stdev, ~exp=2.0);
+ let meanSquared = Js.Math.pow_float(~base=mean, ~exp=2.0);
+ let mu =
+ Js.Math.log(mean) -. 0.5 *. Js.Math.log(variance /. meanSquared +. 1.0);
+ let sigma =
+ Js.Math.pow_float(
+ ~base=Js.Math.log(variance /. meanSquared +. 1.0),
+ ~exp=0.5,
+ );
+ `Lognormal({mu, sigma});
+ };
+
+ let multiply = (l1, l2) => {
+ let mu = l1.mu +. l2.mu;
+ let sigma = l1.sigma +. l2.sigma;
+ `Lognormal({mu, sigma});
+ };
+ let divide = (l1, l2) => {
+ let mu = l1.mu -. l2.mu;
+ let sigma = l1.sigma +. l2.sigma;
+ `Lognormal({mu, sigma});
+ };
+ let operate = (operation: Operation.Algebraic.t, n1: t, n2: t) =>
+ switch (operation) {
+ | `Multiply => Some(multiply(n1, n2))
+ | `Divide => Some(divide(n1, n2))
+ | _ => None
+ };
+};
+
+module Uniform = {
+ type t = uniform;
+ let make = (low, high) => `Uniform({low, high});
+ let pdf = (x, t: t) => Jstat.uniform##pdf(x, t.low, t.high);
+ let cdf = (x, t: t) => Jstat.uniform##cdf(x, t.low, t.high);
+ let inv = (p, t: t) => Jstat.uniform##inv(p, t.low, t.high);
+ let sample = (t: t) => Jstat.uniform##sample(t.low, t.high);
+ let mean = (t: t) => Ok(Jstat.uniform##mean(t.low, t.high));
+ let toString = ({low, high}: t) => {j|Uniform($low,$high)|j};
+ let truncate = (low, high, t: t): t => {
+ let newLow = max(E.O.default(neg_infinity, low), t.low);
+ let newHigh = min(E.O.default(infinity, high), t.high);
+ {low: newLow, high: newHigh};
+ };
+};
+
+module Float = {
+ type t = float;
+ let make = t => `Float(t);
+ let pdf = (x, t: t) => x == t ? 1.0 : 0.0;
+ let cdf = (x, t: t) => x >= t ? 1.0 : 0.0;
+ let inv = (p, t: t) => p < t ? 0.0 : 1.0;
+ let mean = (t: t) => Ok(t);
+ let sample = (t: t) => t;
+ let toString = Js.Float.toString;
+};
+
+module T = {
+ let minCdfValue = 0.0001;
+ let maxCdfValue = 0.9999;
+
+ let pdf = (x, dist) =>
+ switch (dist) {
+ | `Normal(n) => Normal.pdf(x, n)
+ | `Triangular(n) => Triangular.pdf(x, n)
+ | `Exponential(n) => Exponential.pdf(x, n)
+ | `Cauchy(n) => Cauchy.pdf(x, n)
+ | `Lognormal(n) => Lognormal.pdf(x, n)
+ | `Uniform(n) => Uniform.pdf(x, n)
+ | `Beta(n) => Beta.pdf(x, n)
+ | `Float(n) => Float.pdf(x, n)
+ };
+
+ let cdf = (x, dist) =>
+ switch (dist) {
+ | `Normal(n) => Normal.cdf(x, n)
+ | `Triangular(n) => Triangular.cdf(x, n)
+ | `Exponential(n) => Exponential.cdf(x, n)
+ | `Cauchy(n) => Cauchy.cdf(x, n)
+ | `Lognormal(n) => Lognormal.cdf(x, n)
+ | `Uniform(n) => Uniform.cdf(x, n)
+ | `Beta(n) => Beta.cdf(x, n)
+ | `Float(n) => Float.cdf(x, n)
+ };
+
+ let inv = (x, dist) =>
+ switch (dist) {
+ | `Normal(n) => Normal.inv(x, n)
+ | `Triangular(n) => Triangular.inv(x, n)
+ | `Exponential(n) => Exponential.inv(x, n)
+ | `Cauchy(n) => Cauchy.inv(x, n)
+ | `Lognormal(n) => Lognormal.inv(x, n)
+ | `Uniform(n) => Uniform.inv(x, n)
+ | `Beta(n) => Beta.inv(x, n)
+ | `Float(n) => Float.inv(x, n)
+ };
+
+ let sample: symbolicDist => float =
+ fun
+ | `Normal(n) => Normal.sample(n)
+ | `Triangular(n) => Triangular.sample(n)
+ | `Exponential(n) => Exponential.sample(n)
+ | `Cauchy(n) => Cauchy.sample(n)
+ | `Lognormal(n) => Lognormal.sample(n)
+ | `Uniform(n) => Uniform.sample(n)
+ | `Beta(n) => Beta.sample(n)
+ | `Float(n) => Float.sample(n);
+
+ let doN = (n, fn) => {
+ let items = Belt.Array.make(n, 0.0);
+ for (x in 0 to n - 1) {
+ let _ = Belt.Array.set(items, x, fn());
+ ();
+ };
+ items;
+ };
+
+ let sampleN = (n, dist) => {
+ doN(n, () => sample(dist));
+ };
+
+ let toString: symbolicDist => string =
+ fun
+ | `Triangular(n) => Triangular.toString(n)
+ | `Exponential(n) => Exponential.toString(n)
+ | `Cauchy(n) => Cauchy.toString(n)
+ | `Normal(n) => Normal.toString(n)
+ | `Lognormal(n) => Lognormal.toString(n)
+ | `Uniform(n) => Uniform.toString(n)
+ | `Beta(n) => Beta.toString(n)
+ | `Float(n) => Float.toString(n);
+
+ let min: symbolicDist => float =
+ fun
+ | `Triangular({low}) => low
+ | `Exponential(n) => Exponential.inv(minCdfValue, n)
+ | `Cauchy(n) => Cauchy.inv(minCdfValue, n)
+ | `Normal(n) => Normal.inv(minCdfValue, n)
+ | `Lognormal(n) => Lognormal.inv(minCdfValue, n)
+ | `Uniform({low}) => low
+ | `Beta(n) => Beta.inv(minCdfValue, n)
+ | `Float(n) => n;
+
+ let max: symbolicDist => float =
+ fun
+ | `Triangular(n) => n.high
+ | `Exponential(n) => Exponential.inv(maxCdfValue, n)
+ | `Cauchy(n) => Cauchy.inv(maxCdfValue, n)
+ | `Normal(n) => Normal.inv(maxCdfValue, n)
+ | `Lognormal(n) => Lognormal.inv(maxCdfValue, n)
+ | `Beta(n) => Beta.inv(maxCdfValue, n)
+ | `Uniform({high}) => high
+ | `Float(n) => n;
+
+ let mean: symbolicDist => result(float, string) =
+ fun
+ | `Triangular(n) => Triangular.mean(n)
+ | `Exponential(n) => Exponential.mean(n)
+ | `Cauchy(n) => Cauchy.mean(n)
+ | `Normal(n) => Normal.mean(n)
+ | `Lognormal(n) => Lognormal.mean(n)
+ | `Beta(n) => Beta.mean(n)
+ | `Uniform(n) => Uniform.mean(n)
+ | `Float(n) => Float.mean(n);
+
+ let operate = (distToFloatOp: ExpressionTypes.distToFloatOperation, s) =>
+ switch (distToFloatOp) {
+ | `Cdf(f) => Ok(cdf(f, s))
+ | `Pdf(f) => Ok(pdf(f, s))
+ | `Inv(f) => Ok(inv(f, s))
+ | `Sample => Ok(sample(s))
+ | `Mean => mean(s)
+ };
+
+ let interpolateXs =
+ (~xSelection: [ | `Linear | `ByWeight]=`Linear, dist: symbolicDist, n) => {
+ switch (xSelection, dist) {
+ | (`Linear, _) => E.A.Floats.range(min(dist), max(dist), n)
+ | (`ByWeight, `Uniform(n)) =>
+ // In `ByWeight mode, uniform distributions get special treatment because we need two x's
+ // on either side for proper rendering (just left and right of the discontinuities).
+ let dx = 0.00001 *. (n.high -. n.low);
+ [|n.low -. dx, n.low +. dx, n.high -. dx, n.high +. dx|];
+ | (`ByWeight, _) =>
+ let ys = E.A.Floats.range(minCdfValue, maxCdfValue, n);
+ ys |> E.A.fmap(y => inv(y, dist));
+ };
+ };
+
+ /* Calling e.g. "Normal.operate" returns an optional that wraps a result.
+ If the optional is None, there is no valid analytic solution. If it Some, it
+ can still return an error if there is a serious problem,
+ like in the case of a divide by 0.
+ */
+ let tryAnalyticalSimplification =
+ (
+ d1: symbolicDist,
+ d2: symbolicDist,
+ op: ExpressionTypes.algebraicOperation,
+ )
+ : analyticalSimplificationResult =>
+ switch (d1, d2) {
+ | (`Float(v1), `Float(v2)) =>
+ switch (Operation.Algebraic.applyFn(op, v1, v2)) {
+ | Ok(r) => `AnalyticalSolution(`Float(r))
+ | Error(n) => `Error(n)
+ }
+ | (`Normal(v1), `Normal(v2)) =>
+ Normal.operate(op, v1, v2)
+ |> E.O.dimap(r => `AnalyticalSolution(r), () => `NoSolution)
+ | (`Lognormal(v1), `Lognormal(v2)) =>
+ Lognormal.operate(op, v1, v2)
+ |> E.O.dimap(r => `AnalyticalSolution(r), () => `NoSolution)
+ | _ => `NoSolution
+ };
+
+ let toShape = (sampleCount, d: symbolicDist): DistTypes.shape =>
+ switch (d) {
+ | `Float(v) =>
+ Discrete(
+ Discrete.make(
+ ~integralSumCache=Some(1.0),
+ {xs: [|v|], ys: [|1.0|]},
+ ),
+ )
+ | _ =>
+ let xs = interpolateXs(~xSelection=`ByWeight, d, sampleCount);
+ let ys = xs |> E.A.fmap(x => pdf(x, d));
+ Continuous(Continuous.make(~integralSumCache=Some(1.0), {xs, ys}));
+ };
+};
diff --git a/packages/squiggle-old/src/distPlus/symbolic/SymbolicTypes.re b/packages/squiggle-old/src/distPlus/symbolic/SymbolicTypes.re
new file mode 100644
index 00000000..4d10899e
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/symbolic/SymbolicTypes.re
@@ -0,0 +1,49 @@
+type normal = {
+ mean: float,
+ stdev: float,
+};
+
+type lognormal = {
+ mu: float,
+ sigma: float,
+};
+
+type uniform = {
+ low: float,
+ high: float,
+};
+
+type beta = {
+ alpha: float,
+ beta: float,
+};
+
+type exponential = {rate: float};
+
+type cauchy = {
+ local: float,
+ scale: float,
+};
+
+type triangular = {
+ low: float,
+ medium: float,
+ high: float,
+};
+
+type symbolicDist = [
+ | `Normal(normal)
+ | `Beta(beta)
+ | `Lognormal(lognormal)
+ | `Uniform(uniform)
+ | `Exponential(exponential)
+ | `Cauchy(cauchy)
+ | `Triangular(triangular)
+ | `Float(float) // Dirac delta at x. Practically useful only in the context of multimodals.
+];
+
+type analyticalSimplificationResult = [
+ | `AnalyticalSolution(symbolicDist)
+ | `Error(string)
+ | `NoSolution
+];
diff --git a/packages/squiggle-old/src/distPlus/typeSystem/HardcodedFunctions.re b/packages/squiggle-old/src/distPlus/typeSystem/HardcodedFunctions.re
new file mode 100644
index 00000000..4c6625ca
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/typeSystem/HardcodedFunctions.re
@@ -0,0 +1,258 @@
+open TypeSystem;
+
+let wrongInputsError = (r: array(typedValue)) => {
+ let inputs = r |> E.A.fmap(TypedValue.toString) |>Js.String.concatMany(_, ",");
+ Js.log3("Inputs were", inputs, r);
+ Error("Wrong inputs. The inputs were:" ++ inputs);
+};
+
+let to_: (float, float) => result(node, string) =
+ (low, high) =>
+ switch (low, high) {
+ | (low, high) when low <= 0.0 && low < high =>
+ Ok(`SymbolicDist(SymbolicDist.Normal.from90PercentCI(low, high)))
+ | (low, high) when low < high =>
+ Ok(`SymbolicDist(SymbolicDist.Lognormal.from90PercentCI(low, high)))
+ | (_, _) => Error("Low value must be less than high value.")
+ };
+
+let makeSymbolicFromTwoFloats = (name, fn) =>
+ Function.T.make(
+ ~name,
+ ~outputType=`SamplingDistribution,
+ ~inputTypes=[|`Float, `Float|],
+ ~run=
+ fun
+ | [|`Float(a), `Float(b)|] => Ok(`SymbolicDist(fn(a, b)))
+ | e => wrongInputsError(e),
+ (),
+ );
+
+let makeSymbolicFromOneFloat = (name, fn) =>
+ Function.T.make(
+ ~name,
+ ~outputType=`SamplingDistribution,
+ ~inputTypes=[|`Float|],
+ ~run=
+ fun
+ | [|`Float(a)|] => Ok(`SymbolicDist(fn(a)))
+ | e => wrongInputsError(e),
+ (),
+ );
+
+let makeDistFloat = (name, fn) =>
+ Function.T.make(
+ ~name,
+ ~outputType=`SamplingDistribution,
+ ~inputTypes=[|`SamplingDistribution, `Float|],
+ ~run=
+ fun
+ | [|`SamplingDist(a), `Float(b)|] => fn(a, b)
+ | [|`RenderedDist(a), `Float(b)|] => fn(`RenderedDist(a), b)
+ | e => wrongInputsError(e),
+ (),
+ );
+
+let makeRenderedDistFloat = (name, fn) =>
+ Function.T.make(
+ ~name,
+ ~outputType=`RenderedDistribution,
+ ~inputTypes=[|`RenderedDistribution, `Float|],
+ ~shouldCoerceTypes=true,
+ ~run=
+ fun
+ | [|`RenderedDist(a), `Float(b)|] => fn(a, b)
+ | e => wrongInputsError(e),
+ (),
+ );
+
+let makeDist = (name, fn) =>
+ Function.T.make(
+ ~name,
+ ~outputType=`SamplingDistribution,
+ ~inputTypes=[|`SamplingDistribution|],
+ ~run=
+ fun
+ | [|`SamplingDist(a)|] => fn(a)
+ | [|`RenderedDist(a)|] => fn(`RenderedDist(a))
+ | e => wrongInputsError(e),
+ (),
+ );
+
+let floatFromDist =
+ (
+ distToFloatOp: ExpressionTypes.distToFloatOperation,
+ t: TypeSystem.samplingDist,
+ )
+ : result(node, string) => {
+ switch (t) {
+ | `SymbolicDist(s) =>
+ SymbolicDist.T.operate(distToFloatOp, s)
+ |> E.R.bind(_, v => Ok(`SymbolicDist(`Float(v))))
+ | `RenderedDist(rs) =>
+ Shape.operate(distToFloatOp, rs) |> (v => Ok(`SymbolicDist(`Float(v))))
+ };
+};
+
+let verticalScaling = (scaleOp, rs, scaleBy) => {
+ // scaleBy has to be a single float, otherwise we'll return an error.
+ let fn = (secondary, main) =>
+ Operation.Scale.toFn(scaleOp, main, secondary);
+ let integralSumCacheFn = Operation.Scale.toIntegralSumCacheFn(scaleOp);
+ let integralCacheFn = Operation.Scale.toIntegralCacheFn(scaleOp);
+ Ok(
+ `RenderedDist(
+ Shape.T.mapY(
+ ~integralSumCacheFn=integralSumCacheFn(scaleBy),
+ ~integralCacheFn=integralCacheFn(scaleBy),
+ ~fn=fn(scaleBy),
+ rs,
+ ),
+ ),
+ );
+};
+
+module Multimodal = {
+ let getByNameResult = ExpressionTypes.ExpressionTree.Hash.getByNameResult;
+
+ let _paramsToDistsAndWeights = (r: array(typedValue)) =>
+ switch (r) {
+ | [|`Hash(r)|] =>
+ let dists =
+ getByNameResult(r, "dists")
+ ->E.R.bind(TypeSystem.TypedValue.toArray)
+ ->E.R.bind(r =>
+ r
+ |> E.A.fmap(TypeSystem.TypedValue.toDist)
+ |> E.A.R.firstErrorOrOpen
+ );
+ let weights =
+ getByNameResult(r, "weights")
+ ->E.R.bind(TypeSystem.TypedValue.toArray)
+ ->E.R.bind(r =>
+ r
+ |> E.A.fmap(TypeSystem.TypedValue.toFloat)
+ |> E.A.R.firstErrorOrOpen
+ );
+
+ E.R.merge(dists, weights)
+ |> E.R.fmap(((a, b)) =>
+ E.A.zipMaxLength(a, b)
+ |> E.A.fmap(((a, b)) =>
+ (a |> E.O.toExn(""), b |> E.O.default(1.0))
+ )
+ );
+ | _ => Error("Needs items")
+ };
+ let _runner: array(typedValue) => result(node, string) =
+ r => {
+ let paramsToDistsAndWeights =
+ _paramsToDistsAndWeights(r)
+ |> E.R.fmap(
+ E.A.fmap(((dist, weight)) =>
+ `FunctionCall((
+ "scaleMultiply",
+ [|dist, `SymbolicDist(`Float(weight))|],
+ ))
+ ),
+ );
+ let pointwiseSum: result(node, string) =
+ paramsToDistsAndWeights->E.R.bind(
+ E.R.errorIfCondition(E.A.isEmpty, "Needs one input"),
+ )
+ |> E.R.fmap(r =>
+ r
+ |> Js.Array.sliceFrom(1)
+ |> E.A.fold_left(
+ (acc, x) => {`PointwiseCombination((`Add, acc, x))},
+ E.A.unsafe_get(r, 0),
+ )
+ );
+ pointwiseSum;
+ };
+
+ let _function =
+ Function.T.make(
+ ~name="multimodal",
+ ~outputType=`SamplingDistribution,
+ ~inputTypes=[|
+ `Hash([|
+ ("dists", `Array(`SamplingDistribution)),
+ ("weights", `Array(`Float)),
+ |]),
+ |],
+ ~run=_runner,
+ (),
+ );
+};
+
+let all = [|
+ makeSymbolicFromTwoFloats("normal", SymbolicDist.Normal.make),
+ makeSymbolicFromTwoFloats("uniform", SymbolicDist.Uniform.make),
+ makeSymbolicFromTwoFloats("beta", SymbolicDist.Beta.make),
+ makeSymbolicFromTwoFloats("lognormal", SymbolicDist.Lognormal.make),
+ makeSymbolicFromTwoFloats(
+ "lognormalFromMeanAndStdDev",
+ SymbolicDist.Lognormal.fromMeanAndStdev,
+ ),
+ makeSymbolicFromOneFloat("exponential", SymbolicDist.Exponential.make),
+ Function.T.make(
+ ~name="to",
+ ~outputType=`SamplingDistribution,
+ ~inputTypes=[|`Float, `Float|],
+ ~run=
+ fun
+ | [|`Float(a), `Float(b)|] => to_(a, b)
+ | e => wrongInputsError(e),
+ (),
+ ),
+ Function.T.make(
+ ~name="triangular",
+ ~outputType=`SamplingDistribution,
+ ~inputTypes=[|`Float, `Float, `Float|],
+ ~run=
+ fun
+ | [|`Float(a), `Float(b), `Float(c)|] =>
+ SymbolicDist.Triangular.make(a, b, c)
+ |> E.R.fmap(r => `SymbolicDist(r))
+ | e => wrongInputsError(e),
+ (),
+ ),
+ makeDistFloat("pdf", (dist, float) => floatFromDist(`Pdf(float), dist)),
+ makeDistFloat("inv", (dist, float) => floatFromDist(`Inv(float), dist)),
+ makeDistFloat("cdf", (dist, float) => floatFromDist(`Cdf(float), dist)),
+ makeDist("mean", dist => floatFromDist(`Mean, dist)),
+ makeDist("sample", dist => floatFromDist(`Sample, dist)),
+ Function.T.make(
+ ~name="render",
+ ~outputType=`RenderedDistribution,
+ ~inputTypes=[|`RenderedDistribution|],
+ ~run=
+ fun
+ | [|`RenderedDist(c)|] => Ok(`RenderedDist(c))
+ | e => wrongInputsError(e),
+ (),
+ ),
+ Function.T.make(
+ ~name="normalize",
+ ~outputType=`SamplingDistribution,
+ ~inputTypes=[|`SamplingDistribution|],
+ ~run=
+ fun
+ | [|`SamplingDist(`SymbolicDist(c))|] => Ok(`SymbolicDist(c))
+ | [|`SamplingDist(`RenderedDist(c))|] =>
+ Ok(`RenderedDist(Shape.T.normalize(c)))
+ | e => wrongInputsError(e),
+ (),
+ ),
+ makeRenderedDistFloat("scaleExp", (dist, float) =>
+ verticalScaling(`Exponentiate, dist, float)
+ ),
+ makeRenderedDistFloat("scaleMultiply", (dist, float) =>
+ verticalScaling(`Multiply, dist, float)
+ ),
+ makeRenderedDistFloat("scaleLog", (dist, float) =>
+ verticalScaling(`Log, dist, float)
+ ),
+ Multimodal._function
+|];
diff --git a/packages/squiggle-old/src/distPlus/typeSystem/TypeSystem.re b/packages/squiggle-old/src/distPlus/typeSystem/TypeSystem.re
new file mode 100644
index 00000000..ee78e986
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/typeSystem/TypeSystem.re
@@ -0,0 +1,228 @@
+type node = ExpressionTypes.ExpressionTree.node;
+let getFloat = ExpressionTypes.ExpressionTree.getFloat;
+
+type samplingDist = [
+ | `SymbolicDist(SymbolicTypes.symbolicDist)
+ | `RenderedDist(DistTypes.shape)
+];
+
+type hashType = array((string, _type))
+and _type = [
+ | `Float
+ | `SamplingDistribution
+ | `RenderedDistribution
+ | `Array(_type)
+ | `Hash(hashType)
+];
+
+type hashTypedValue = array((string, typedValue))
+and typedValue = [
+ | `Float(float)
+ | `RenderedDist(DistTypes.shape)
+ | `SamplingDist(samplingDist)
+ | `Array(array(typedValue))
+ | `Hash(hashTypedValue)
+];
+
+type _function = {
+ name: string,
+ inputTypes: array(_type),
+ outputType: _type,
+ run: array(typedValue) => result(node, string),
+ shouldCoerceTypes: bool,
+};
+
+type functions = array(_function);
+type inputNodes = array(node);
+
+module TypedValue = {
+ let rec toString: typedValue => string =
+ fun
+ | `SamplingDist(_) => "[sampling dist]"
+ | `RenderedDist(_) => "[rendered Shape]"
+ | `Float(f) => "Float: " ++ Js.Float.toString(f)
+ | `Array(a) =>
+ "[" ++ (a |> E.A.fmap(toString) |> Js.String.concatMany(_, ",")) ++ "]"
+ | `Hash(v) =>
+ "{"
+ ++ (
+ v
+ |> E.A.fmap(((name, value)) => name ++ ":" ++ toString(value))
+ |> Js.String.concatMany(_, ",")
+ )
+ ++ "}";
+
+ let rec fromNode = (node: node): result(typedValue, string) =>
+ switch (node) {
+ | `SymbolicDist(`Float(r)) => Ok(`Float(r))
+ | `SymbolicDist(s) => Ok(`SamplingDist(`SymbolicDist(s)))
+ | `RenderedDist(s) => Ok(`RenderedDist(s))
+ | `Array(r) =>
+ r
+ |> E.A.fmap(fromNode)
+ |> E.A.R.firstErrorOrOpen
+ |> E.R.fmap(r => `Array(r))
+ | `Hash(hash) =>
+ hash
+ |> E.A.fmap(((name, t)) => fromNode(t) |> E.R.fmap(r => (name, r)))
+ |> E.A.R.firstErrorOrOpen
+ |> E.R.fmap(r => `Hash(r))
+ | e => Error("Wrong type: " ++ ExpressionTreeBasic.toString(e))
+ };
+
+ // todo: Arrays and hashes
+ let rec fromNodeWithTypeCoercion = (evaluationParams, _type: _type, node) => {
+ switch (_type, node) {
+ | (`Float, _) =>
+ switch (getFloat(node)) {
+ | Some(a) => Ok(`Float(a))
+ | _ => Error("Type Error: Expected float.")
+ }
+ | (`SamplingDistribution, _) =>
+ PTypes.SamplingDistribution.renderIfIsNotSamplingDistribution(
+ evaluationParams,
+ node,
+ )
+ |> E.R.bind(_, fromNode)
+ | (`RenderedDistribution, _) =>{
+ ExpressionTypes.ExpressionTree.Render.render(evaluationParams, node)
+ |> E.R.bind(_, fromNode);
+ }
+ | (`Array(_type), `Array(b)) =>
+ b
+ |> E.A.fmap(fromNodeWithTypeCoercion(evaluationParams, _type))
+ |> E.A.R.firstErrorOrOpen
+ |> E.R.fmap(r => `Array(r))
+ | (`Hash(named), `Hash(r)) =>
+ let keyValues =
+ named
+ |> E.A.fmap(((name, intendedType)) =>
+ (
+ name,
+ intendedType,
+ ExpressionTypes.ExpressionTree.Hash.getByName(r, name),
+ )
+ );
+ let typedHash =
+ keyValues
+ |> E.A.fmap(((name, intendedType, optionNode)) =>
+ switch (optionNode) {
+ | Some(node) =>
+ fromNodeWithTypeCoercion(evaluationParams, intendedType, node)
+ |> E.R.fmap(node => (name, node))
+ | None => Error("Hash parameter not present in hash.")
+ }
+ )
+ |> E.A.R.firstErrorOrOpen
+ |> E.R.fmap(r => `Hash(r));
+ typedHash;
+ | _ => Error("fromNodeWithTypeCoercion error, sorry.")
+ };
+ };
+
+ let toFloat: typedValue => result(float, string) =
+ fun
+ | `Float(x) => Ok(x)
+ | _ => Error("Not a float");
+
+ let toArray: typedValue => result(array('a), string) =
+ fun
+ | `Array(x) => Ok(x)
+ | _ => Error("Not an array");
+
+ let toNamed: typedValue => result(hashTypedValue, string) =
+ fun
+ | `Hash(x) => Ok(x)
+ | _ => Error("Not a named item");
+
+ let toDist: typedValue => result(node,string) =
+ fun
+ | `SamplingDist(`SymbolicDist(c)) => Ok(`SymbolicDist(c))
+ | `SamplingDist(`RenderedDist(c)) => Ok(`RenderedDist(c))
+ | `RenderedDist(c) => Ok(`RenderedDist(c))
+ | `Float(x) => Ok(`SymbolicDist(`Float(x)))
+ | x => Error("Cannot be converted into a distribution: " ++ toString(x));
+};
+
+module Function = {
+ type t = _function;
+ type ts = functions;
+
+ module T = {
+ let make =
+ (~name, ~inputTypes, ~outputType, ~run, ~shouldCoerceTypes=true, _): t => {
+ name,
+ inputTypes,
+ outputType,
+ run,
+ shouldCoerceTypes,
+ };
+
+ let _inputLengthCheck = (inputNodes: inputNodes, t: t) => {
+ let expectedLength = E.A.length(t.inputTypes);
+ let actualLength = E.A.length(inputNodes);
+ expectedLength == actualLength
+ ? Ok(inputNodes)
+ : Error(
+ "Wrong number of inputs. Expected"
+ ++ (expectedLength |> E.I.toString)
+ ++ ". Got:"
+ ++ (actualLength |> E.I.toString),
+ );
+ };
+
+ let _coerceInputNodes =
+ (evaluationParams, inputTypes, shouldCoerce, inputNodes) =>
+ Belt.Array.zip(inputTypes, inputNodes)
+ |> E.A.fmap(((def, input)) =>
+ shouldCoerce
+ ? TypedValue.fromNodeWithTypeCoercion(
+ evaluationParams,
+ def,
+ input,
+ )
+ : TypedValue.fromNode(input)
+ )
+ |> E.A.R.firstErrorOrOpen;
+
+ let inputsToTypedValues =
+ (
+ evaluationParams: ExpressionTypes.ExpressionTree.evaluationParams,
+ inputNodes: inputNodes,
+ t: t,
+ ) => {
+ _inputLengthCheck(inputNodes, t)
+ ->E.R.bind(
+ _coerceInputNodes(
+ evaluationParams,
+ t.inputTypes,
+ t.shouldCoerceTypes,
+ ),
+ )
+ };
+
+ let run =
+ (
+ evaluationParams: ExpressionTypes.ExpressionTree.evaluationParams,
+ inputNodes: inputNodes,
+ t: t,
+ ) => {
+ inputsToTypedValues(evaluationParams, inputNodes, t)->E.R.bind(t.run)
+ |> (
+ fun
+ | Ok(i) => Ok(i)
+ | Error(r) => {
+ Error("Function " ++ t.name ++ " error: " ++ r);
+ }
+ );
+ };
+ };
+
+ module Ts = {
+ let findByName = (ts: ts, n: string) =>
+ ts |> Belt.Array.getBy(_, ({name}) => name == n);
+
+ let findByNameAndRun = (ts: ts, n: string, evaluationParams, inputTypes) =>
+ findByName(ts, n) |> E.O.fmap(T.run(evaluationParams, inputTypes));
+ };
+};
diff --git a/packages/squiggle-old/src/distPlus/utility/E.res b/packages/squiggle-old/src/distPlus/utility/E.res
new file mode 100644
index 00000000..1488dbf9
--- /dev/null
+++ b/packages/squiggle-old/src/distPlus/utility/E.res
@@ -0,0 +1,460 @@
+open Rationale.Function.Infix
+
+module FloatFloatMap = {
+ module Id = Belt.Id.MakeComparable({
+ type t = float
+ let cmp: (float, float) => int = Pervasives.compare
+ })
+
+ type t = Belt.MutableMap.t
+
+ let fromArray = (ar: array<(float, float)>) => Belt.MutableMap.fromArray(ar, ~id=module(Id))
+ let toArray = (t: t) => Belt.MutableMap.toArray(t)
+ let empty = () => Belt.MutableMap.make(~id=module(Id))
+ let increment = (el, t: t) =>
+ Belt.MutableMap.update(t, el, x =>
+ switch x {
+ | Some(n) => Some(n +. 1.0)
+ | None => Some(1.0)
+ }
+ )
+
+ let get = (el, t: t) => Belt.MutableMap.get(t, el)
+ let fmap = (fn, t: t) => Belt.MutableMap.map(t, fn)
+}
+
+module Int = {
+ let max = (i1: int, i2: int) => i1 > i2 ? i1 : i2
+}
+/* Utils */
+module U = {
+ let isEqual = (a, b) => a == b
+ let toA = a => [a]
+ let id = e => e
+}
+
+module O = {
+ let dimap = (sFn, rFn, e) =>
+ switch e {
+ | Some(r) => sFn(r)
+ | None => rFn()
+ }
+ ()
+ let fmap = Rationale.Option.fmap
+ let bind = Rationale.Option.bind
+ let default = Rationale.Option.default
+ let isSome = Rationale.Option.isSome
+ let isNone = Rationale.Option.isNone
+ let toExn = Rationale.Option.toExn
+ let some = Rationale.Option.some
+ let firstSome = Rationale.Option.firstSome
+ let toExt = Rationale.Option.toExn
+ let flatApply = (fn, b) => Rationale.Option.apply(fn, Some(b)) |> Rationale.Option.flatten
+
+ let toBool = opt =>
+ switch opt {
+ | Some(_) => true
+ | _ => false
+ }
+
+ let ffmap = (fn, r) =>
+ switch r {
+ | Some(sm) => fn(sm)
+ | _ => None
+ }
+
+ let toString = opt =>
+ switch opt {
+ | Some(s) => s
+ | _ => ""
+ }
+
+ let toResult = (error, e) =>
+ switch e {
+ | Some(r) => Belt.Result.Ok(r)
+ | None => Error(error)
+ }
+
+ let compare = (compare, f1: option, f2: option) =>
+ switch (f1, f2) {
+ | (Some(f1), Some(f2)) => Some(compare(f1, f2) ? f1 : f2)
+ | (Some(f1), None) => Some(f1)
+ | (None, Some(f2)) => Some(f2)
+ | (None, None) => None
+ }
+
+ let min = compare(\"<")
+ let max = compare(\">")
+ module React = {
+ let defaultNull = default(React.null)
+ let fmapOrNull = fn => \"||>"(fmap(fn), default(React.null))
+ let flatten = default(React.null)
+ }
+}
+
+/* Functions */
+module F = {
+ let apply = (a, e) => a |> e
+
+ let flatten2Callbacks = (fn1, fn2, fnlast) =>
+ fn1(response1 => fn2(response2 => fnlast(response1, response2)))
+
+ let flatten3Callbacks = (fn1, fn2, fn3, fnlast) =>
+ fn1(response1 => fn2(response2 => fn3(response3 => fnlast(response1, response2, response3))))
+
+ let flatten4Callbacks = (fn1, fn2, fn3, fn4, fnlast) =>
+ fn1(response1 =>
+ fn2(response2 =>
+ fn3(response3 => fn4(response4 => fnlast(response1, response2, response3, response4)))
+ )
+ )
+}
+
+module Bool = {
+ type t = bool
+ let toString = (t: t) => t ? "TRUE" : "FALSE"
+ let fromString = str => str == "TRUE" ? true : false
+
+ module O = {
+ let toBool = opt =>
+ switch opt {
+ | Some(true) => true
+ | _ => false
+ }
+ }
+}
+
+module Float = {
+ let with2DigitsPrecision = Js.Float.toPrecisionWithPrecision(_, ~digits=2)
+ let with3DigitsPrecision = Js.Float.toPrecisionWithPrecision(_, ~digits=3)
+ let toFixed = Js.Float.toFixed
+ let toString = Js.Float.toString
+}
+
+module I = {
+ let increment = n => n + 1
+ let decrement = n => n - 1
+ let toString = Js.Int.toString
+}
+
+/* R for Result */
+module R = {
+ let result = Rationale.Result.result
+ let id = e => e |> result(U.id, U.id)
+ let fmap = Rationale.Result.fmap
+ let bind = Rationale.Result.bind
+ let toExn = Belt.Result.getExn
+ let default = (default, res: Belt.Result.t<'a, 'b>) =>
+ switch res {
+ | Ok(r) => r
+ | Error(_) => default
+ }
+ let merge = (a, b) =>
+ switch (a, b) {
+ | (Error(e), _) => Error(e)
+ | (_, Error(e)) => Error(e)
+ | (Ok(a), Ok(b)) => Ok((a, b))
+ }
+ let toOption = (e: Belt.Result.t<'a, 'b>) =>
+ switch e {
+ | Ok(r) => Some(r)
+ | Error(_) => None
+ }
+
+ let errorIfCondition = (errorCondition, errorMessage, r) =>
+ errorCondition(r) ? Error(errorMessage) : Ok(r)
+}
+
+let safe_fn_of_string = (fn, s: string): option<'a> =>
+ try Some(fn(s)) catch {
+ | _ => None
+ }
+
+module S = {
+ let safe_float = float_of_string->safe_fn_of_string
+ let safe_int = int_of_string->safe_fn_of_string
+ let default = (defaultStr, str) => str == "" ? defaultStr : str
+}
+
+module J = {
+ let toString = \"||>"(Js.Json.decodeString, O.default(""))
+ let fromString = Js.Json.string
+ let fromNumber = Js.Json.number
+
+ module O = {
+ let fromString = (str: string) =>
+ switch str {
+ | "" => None
+ | _ => Some(Js.Json.string(str))
+ }
+
+ let toString = (str: option<'a>) =>
+ switch str {
+ | Some(str) => Some(str |> \"||>"(Js.Json.decodeString, O.default("")))
+ | _ => None
+ }
+ }
+}
+
+module M = {
+ let format = MomentRe.Moment.format
+ let format_standard = "MMM DD, YYYY HH:mm"
+ let format_simple = "L"
+ /* TODO: Figure out better name */
+ let goFormat_simple = MomentRe.Moment.format(format_simple)
+ let goFormat_standard = MomentRe.Moment.format(format_standard)
+ let toUtc = MomentRe.momentUtc
+ let toJSON = MomentRe.Moment.toJSON
+ let momentDefaultFormat = MomentRe.momentDefaultFormat
+}
+
+module JsDate = {
+ let fromString = Js.Date.fromString
+ let now = Js.Date.now
+ let make = Js.Date.make
+ let valueOf = Js.Date.valueOf
+}
+
+/* List */
+module L = {
+ let fmap = List.map
+ let get = Belt.List.get
+ let toArray = Array.of_list
+ let fmapi = List.mapi
+ let concat = List.concat
+ let drop = Rationale.RList.drop
+ let remove = Rationale.RList.remove
+ let find = List.find
+ let filter = List.filter
+ let for_all = List.for_all
+ let exists = List.exists
+ let sort = List.sort
+ let length = List.length
+ let filter_opt = Rationale.RList.filter_opt
+ let uniqBy = Rationale.RList.uniqBy
+ let join = Rationale.RList.join
+ let head = Rationale.RList.head
+ let uniq = Rationale.RList.uniq
+ let flatten = List.flatten
+ let last = Rationale.RList.last
+ let append = List.append
+ let getBy = Belt.List.getBy
+ let dropLast = Rationale.RList.dropLast
+ let contains = Rationale.RList.contains
+ let without = Rationale.RList.without
+ let update = Rationale.RList.update
+ let iter = List.iter
+ let findIndex = Rationale.RList.findIndex
+}
+
+/* A for Array */
+module A = {
+ let fmap = Array.map
+ let fmapi = Array.mapi
+ let to_list = Array.to_list
+ let of_list = Array.of_list
+ let length = Array.length
+ let append = Array.append
+ // let empty = [||];
+ let unsafe_get = Array.unsafe_get
+ let get = Belt.Array.get
+ let getBy = Belt.Array.getBy
+ let last = a => get(a, length(a) - 1)
+ let first = get(_, 0)
+ let hasBy = (r, fn) => Belt.Array.getBy(r, fn) |> O.isSome
+ let fold_left = Array.fold_left
+ let fold_right = Array.fold_right
+ let concatMany = Belt.Array.concatMany
+ let keepMap = Belt.Array.keepMap
+ let init = Array.init
+ let reduce = Belt.Array.reduce
+ let reducei = Belt.Array.reduceWithIndex
+ let isEmpty = r => length(r) < 1
+ let min = a => get(a, 0) |> O.fmap(first => Belt.Array.reduce(a, first, (i, j) => i < j ? i : j))
+ let max = a => get(a, 0) |> O.fmap(first => Belt.Array.reduce(a, first, (i, j) => i > j ? i : j))
+ let stableSortBy = Belt.SortArray.stableSortBy
+ let toRanges = (a: array<'a>) =>
+ switch a |> Belt.Array.length {
+ | 0
+ | 1 =>
+ Belt.Result.Error("Must be at least 2 elements")
+ | n =>
+ Belt.Array.makeBy(n - 1, r => r)
+ |> Belt.Array.map(_, index => (
+ Belt.Array.getUnsafe(a, index),
+ Belt.Array.getUnsafe(a, index + 1),
+ ))
+ |> Rationale.Result.return
+ }
+
+ // This zips while taking the longest elements of each array.
+ let zipMaxLength = (array1, array2) => {
+ let maxLength = Int.max(length(array1), length(array2))
+ let result = maxLength |> Belt.Array.makeUninitializedUnsafe
+ for i in 0 to maxLength - 1 {
+ Belt.Array.set(result, i, (get(array1, i), get(array2, i))) |> ignore
+ }
+ result
+ }
+
+ let asList = (f: list<'a> => list<'a>, r: array<'a>) => r |> to_list |> f |> of_list
+ /* TODO: Is there a better way of doing this? */
+ let uniq = r => asList(L.uniq, r)
+
+ //intersperse([1,2,3], [10,11,12]) => [1,10,2,11,3,12]
+ let intersperse = (a: array<'a>, b: array<'a>) => {
+ let items: ref> = ref([])
+
+ Belt.Array.forEachWithIndex(a, (i, item) =>
+ switch Belt.Array.get(b, i) {
+ | Some(r) => items := append(items.contents, [item, r])
+ | None => items := append(items.contents, [item])
+ }
+ )
+ items.contents
+ }
+
+ // This is like map, but
+ //accumulate((a,b) => a + b, [1,2,3]) => [1, 3, 5]
+ let accumulate = (fn: ('a, 'a) => 'a, items: array<'a>) => {
+ let length = items |> length
+ let empty = Belt.Array.make(length, items |> unsafe_get(_, 0))
+ Belt.Array.forEachWithIndex(items, (index, element) => {
+ let item = switch index {
+ | 0 => element
+ | index => fn(element, unsafe_get(empty, index - 1))
+ }
+ let _ = Belt.Array.set(empty, index, item)
+ })
+ empty
+ }
+
+ // @todo: Is -1 still the indicator that this is false (as is true with
+ // @todo: js findIndex)? Wasn't sure.
+ let findIndex = (e, i) =>
+ Js.Array.findIndex(e, i) |> (
+ r =>
+ switch r {
+ | -1 => None
+ | r => Some(r)
+ }
+ )
+ let filter = (o, e) => Js.Array.filter(o, e)
+
+ module O = {
+ let concatSomes = (optionals: array